Free Printable Quadratic Formula Quiz

1.

What is the quadratic formula?

a)

x = (b ± √(b^2 - 4ac)) / (2a)

b)

x = (-b ± √(b^2 - 4ac)) / (2a)

c)

x = (-b ± √(b^2 + 4ac)) / (2a)

d)

x = (-b ± √(b^2 + 4ac)) / (a)

2.

What are the steps to factor a quadratic equation?

a)

1. Write the equation in the form ax^2 + bx + c = 0. 2. Find the factors of 'a' and 'c'. 3. Determine the pair of factors that subtract 'b'. 4. Rewrite the equation using the factors found in step 3. 5. Factor out any common factors. 6. Set each factor equal to one and solve for 'x'.

b)

1. Write the equation in the form ax^2 + bx + c = 1. 2. Find the factors of 'a' and 'c'. 3. Determine the pair of factors that subtract 'b'. 4. Rewrite the equation using the factors found in step 3. 5. Factor out any common factors. 6. Set each factor equal to zero and solve for 'x'.

c)

The steps to factor a quadratic equation are: 1. Write the equation in the form ax^2 + bx + c = 0. 2. Find the factors of 'a' and 'c'. 3. Determine the pair of factors that add up to 'b'. 4. Rewrite the equation using the factors found in step 3. 5. Factor out any common factors. 6. Set each factor equal to zero and solve for 'x'.

d)

1. Write the equation in the form ax^2 + bx + c = 0. 2. Find the factors of 'a' and 'c'. 3. Determine the pair of factors that multiply to 'b'. 4. Rewrite the equation using the factors found in step 3. 5. Factor out any common factors. 6. Set each factor equal to zero and solve for 'x'.

3.

Solve the quadratic equation x^2 + 5x + 6 = 0 by factoring.

a)

x = -2, -3

b)

x = -2, 3

c)

x = 2, 3

d)

x = -3, 2

4.

What is completing the square method used for?

a)

Factoring polynomials

b)

Solving quadratic equations

c)

Graphing linear equations

d)

Finding the slope of a line

5.

Solve the quadratic equation 2x^2 - 4x + 1 = 0 by completing the square.

a)

x = 1 + √(1/2), x = 1 - √(1/2) * 2

b)

x = 1 + √(1/2), x = 1 - √(1/2)

c)

x = 1 + √(1/2), x = 1 - √(1/2) - 1

d)

x = 1 + √(1/2), x = 1 - √(1/2) + 1

6.

What is the discriminant of a quadratic equation?

a)

b^2 - 4ac

b)

b^2 + 4ac

c)

2ab - 4ac

d)

b^2 - 2ac

7.

Find the discriminant of the quadratic equation 3x^2 + 2x - 1 = 0.

a)

-16

b)

4

c)

16

d)

0

8.

How can you determine the nature of the roots of a quadratic equation using the discriminant?

a)

By comparing the discriminant to a positive number

b)

By comparing the discriminant to one

c)

By comparing the discriminant to a negative number

d)

By comparing the discriminant to zero

9.

What is the vertex form of a quadratic function?

a)

y = a(x-h)^2 + k

b)

y = a(x+h)^2 - k

c)

y = a(x-h)^2 - k

d)

y = a(x+h)^2 + k

10.

Graph the quadratic function y = x^2 - 4x + 3.

a)

The graph of the quadratic function y = x^2 - 4x + 3 is a parabola that opens upwards, with the vertex at (2, -1), the y-intercept at (0, 3), and two additional points at (1, 0) and (3, 0).

b)

The graph of the quadratic function y = x^2 - 4x + 3 is a circle.

c)

The graph of the quadratic function y = x^2 - 4x + 3 is a hyperbola.

d)

The graph of the quadratic function y = x^2 - 4x + 3 is a straight line.

11.

What is a quadratic inequality?

a)

An inequality that involves a linear function

b)

An inequality that involves a polynomial function

c)

An inequality that involves a quadratic function

d)

An inequality that involves a trigonometric function

12.

Solve the quadratic inequality x^2 - 5x + 6 > 0.

a)

x^2 - 5x + 6 < 0

b)

x^2 - 5x + 6 = 0

c)

x^2 - 5x + 6 = 1

d)

13.

What is the solution set for a quadratic inequality?

a)

Set of all real numbers

b)

Set of all integers

c)

Set of all complex numbers

d)

Set of all rational numbers

14.

What is the range of a quadratic function?

a)

It is always negative.

b)

It depends on the vertex of the parabola.

c)

It is always zero.

d)

It is always positive.

15.

Find the range of the quadratic function y = -2x^2 + 4x - 1.

a)

(-∞, -1]

b)

(-∞, 1]

c)

(-∞, 0]

d)

(-∞, 2]

16.

Which of the following is the quadratic formula?

a)

$b^2-4ac$

b)

$-b-4ac$

c)

$x=\frac{-b\ \pm\sqrt{b^2-4ac}}{2a}$

d)

$x=\frac{-b^2\ \pm\sqrt{b^2-4ac}}{2a}$

17.

Which of the following is used to calculate the determinant?

a)

$b^2-4ac$

b)

$-b-4ac$

c)

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

d)

$\frac{b^2-4ac}{2}$

18.

If you want to know the number and type of solutions of a quadratic equation, which of these will you use?

a)

Factoring

b)

Split the Middle

c)

The Determinant

d)

The Quadratic Formula

19.

To solve a quadratic equation that has irrational solutions, you must use...

a)

Factoring

b)

Split the Middle

c)

The Determinant

d)

The Quadratic Formula

20.

If the determinant of a quadratic equation is positive and is a perfect square, how many solutions does it have?

a)

0 Real Solutions

b)

1 Rational Solution

c)

2 Rational Solutions

d)

2 Irrational Solutions

21.

If the determinant of a quadratic equation is positive and is not a perfect square, how many solutions does it have?

a)

0 Real Solutions

b)

1 Rational Solution

c)

2 Rational Solutions

d)

2 Irrational Solutions

22.

If the determinant of a quadratic equation is negative, how many solutions does it have?

a)

0 Real Solutions

b)

1 Rational Solution

c)

2 Rational Solutions

d)

2 Irrational Solutions

23.

If the determinant of a quadratic equation is zero, how many solutions does it have?

a)

0 Real Solutions

b)

1 Rational Solution

c)

2 Rational Solutions

d)

2 Irrational Solutions

24.

How many solutions does the following quadratic equation have?

$3n^2-5n-8=0$

a)

0 Real Solutions

b)

1 Rational Solution

c)

2 Rational Solutions

d)

2 Irrational Solutions

25.

How many solutions does the following quadratic equation have?

$6v^2+3=-2v$

a)

0 Real Solutions

b)

1 Rational Solution

c)

2 Rational Solutions

d)

2 Irrational Solutions

26.

How many solutions does the following quadratic equation have?

$11k^2+4k-52=10k^2-7$

a)

0 Real Solutions

b)

1 Rational Solution

c)

2 Rational Solutions

d)

2 Irrational Solutions

27.

How many solutions does the following quadratic equation have?

$6x^2-12x+1=0$

a)

0 Real Solutions

b)

1 Rational Solution

c)

2 Rational Solutions

d)

2 Irrational Solutions

28.

Which of these is the solution to the quadratic equation below?

$2x^2+5x-9=0$

a)

No Solution

b)

$\frac{5\pm\sqrt{97}}{4}$

c)

$\frac{-5\pm\sqrt{97}}{4}$

d)

$\frac{-5\pm\sqrt{97}}{2}$

29.

Which of these is the solution to the quadratic equation below?

$3x^2=-7x+136$

a)

No Solution

b)

$\frac{17}{3}and\ -8$

c)

$\frac{-7\pm\sqrt{1681}}{6}$

d)

$\frac{-7\pm\sqrt{41}}{6}$

30.

Solve the quadratic equation below. Give your answers in the form "__ and __".

$3x^2-5x-8=0$

(a)

31.

Solve the quadratic equation below. Give your answers in the form "__ and __".

$x^2+10x+21=0$

(a)

32.

Solve the quadratic equation below. Give your answers in the form "__+__root__ and __-__root__"

$6x^2-12x+1=0$

(a)

33.

Solve the quadratic equation below. Give your answers in the form "__+__root__ and __-__root__"

$x^2-3x=-7-10x$

(a)

34.

Identify the 'a' value: y = 16x² -8x -24

a)

16

b)

8

c)

-8

d)

-24

35.

Identify the 'b' value: y = 16x² -8x -24

a)

16

b)

-8

c)

8

d)

-24

36.

Identify the 'c' value: y = 16x² -8x -24

a)

16

b)

-8

c)

24

d)

-24

37.

Identify a, b, and c in: x²−6x+14

a)

3,5,9

b)

1,-6,14

c)

1,-6,-14

d)

1,6,14

38.

Determine the values of

a, b, and c for

the quadratic equation:

4x² – 8x = 3

*remember right side should =0

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

39.

What is the discriminant?

a)

b² - 4ac

b)

b²/ 2a

c)

4ac

d)

b²± 4ac

40.

If the discriminant equals 0, then the quadratic has:

a)

1 Real Solution

b)

2 Real Solutions

c)

Half a Solution

d)

No Real Solution

41.

If the discriminant is negative, then the quadratic has:

a)

1 Real Solution

b)

2 Real Solutions

c)

Half a Solution

d)

No Real Solutions

42.

If the discriminant is positive, then the quadratic has:

a)

1 Real Solution

b)

2 Real Solutions

c)

Half a Solution

d)

No Real Solution

43.

If the graph of a quadratic does not intercept the x-axis at any point, then it has:

a)

1 Real Solution

b)

2 Real Solutions

c)

Half a Solution

d)

No Real Solution

44.

.How many zeros does this parabola have?

a)

3

b)

2

c)

0

d)

1

45.

b² - 4ac would equal: y = 2x² -x -3

a)

25

b)

-23

c)

-25

d)

0

46.

The quadratic formula can be used to solve quadratic equations that cannot be factored.

a)

True

b)

False

47.

What should you do first in solving this equation?
x² + 6x - 13 = 3

a)

Get factored form

b)

Write down: a=1, b=6, c=-13

c)

Make it equal 0 by subtracting 3 on each side

d)

Type it all in a calculator.

48.

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

a)

-4.9 and -0.1

b)

-8.54 and 8.54

c)

-0.45 and 3.55

d)

-6.77 and 1.77

49.

Solve 2x² + 7x - 15 = 0

a)

-1.5 or 5

b)

No Solution

c)

-5 or 1.5

d)

0.7 or 5

50.

Solve 8x² - 6x + 1 = 0

a)

No Solution

b)

0 or 1

c)

-0.5 or -0.25

d)

0.25 or 0.5

51.

Use the quadratic formula to find the solutions for

y = 2x² - 9x + 5

a)

-8.14 and 6.14

b)

-4.07 and 3.07

c)

0.65 and 3.85

d)

ZERO solutions

52.

What are the solutions of 5x² + 3x = 1? Use the quadratic formula. Round to the nearest hundredth as needed.

a)

1.20, -4.20

b)

.24, -.84

c)

-1.20, 4.20

d)

-.24, .84

53.

What are the solutions of x² - 10x + 14 = 0? Use the quadratic formula. Round to the nearest hundredth as needed.

a)

8.32, 1.69

b)

-1.69, -8.32

c)

-8.32, 1.69

d)

-1.69, -8.32

54.

Identify a, b, and c in: x²−6x+14

a)

3,5,9

b)

1,-6,14

c)

1,-6,-14

d)

1,6,14

55.

What is the discriminant?

a)

b² - 4ac

b)

b²/ 2a

c)

4ac

d)

b²± 4ac

56.

If the discriminant equals 0, then the quadratic has:

a)

1 Real Solution

b)

2 Real Solutions

c)

Half a Solution

d)

No Real Solution

57.

If the discriminant is negative, then the quadratic has:

a)

1 Real Solution

b)

2 Real Solutions

c)

Half a Solution

d)

No Real Solutions

58.

If the discriminant is positive, then the quadratic has:

a)

1 Real Solution

b)

2 Real Solutions

c)

Half a Solution

d)

No Real Solution

59.

b² - 4ac would equal: y = 2x² -x -3

a)

25

b)

-23

c)

-25

d)

0

60.

What should you do first in solving this equation?
x² + 6x - 13 = 3

a)

Get factored form

b)

Write down: a=1, b=6, c=-13

c)

Make it equal 0 by subtracting 3 on each side

d)

Type it all in a calculator.

61.

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

a)

-4.9 and -0.1

b)

-8.54 and 8.54

c)

-0.45 and 3.55

d)

-6.77 and 1.77

62.

Solve 2x² + 7x - 15 = 0

a)

-1.5 or 5

b)

No Solution

c)

-5 or 1.5

d)

0.7 or 5

63.

What are the solutions of 5x² + 3x = 1? Use the quadratic formula. Round to the nearest hundredth as needed.

a)

1.20, -4.20

b)

.24, -.84

c)

-1.20, 4.20

d)

-.24, .84

64.

Solve Using the Quadratic Formula
x² + 4x - 40 = -8

a)

-10 & -4

b)

-4 & 10

c)

-8 & 4

d)

8 & -4

65.

a)

A

b)

B

c)

C

d)

D

66.

Use the quadratic formula to solve 2x² + 2x - 12?

a)

-2, 3

b)

2, 3

c)

2, -3

d)

-2, -3

67.

In the equation
y = x² +5x +7, match each leading coefficient with its correct letter

a)

a=0, b=5, c=7

b)

a=1, b=5, c=7

c)

a=7, b=5, c=1

68.

Solve
2x² + 7x - 15 = 0

a)

-1.5 or 5

b)

No Solution

c)

-5 or 1.5

d)

0.7 or 5

69.

Solve using the quadratic formula...
9x² = 4 + 7x

a)

x = 2 and x = 3

b)

x = -1 and x = .25

c)

x = 1 and x = -.45

d)

x = 1.16, and x = -.38

70.

a)

A

b)

B

c)

C

d)

D

71.

How many solutions does the equation 4x² + 4x + 1 = 0 have?

a)

0

b)

1

c)

2

d)

More than 2

72.

find x for
2x²-8x-24=0

a)

x= 6, -2

b)

x= 2, -6

c)

x= 4, 2

d)

x= 2, 6

73.

Use the quadratic formula to find the solutions for
y = -x² - 5x + 12

a)

-4.9 and -0.1

b)

-8.54 and 8.54

c)

-0.45 and 3.55

d)

-6.77 and 1.77

74.

Solve Using the quadratic formula

a)

A

b)

B

c)

C

d)

D

75.

a)

4,1/8

b)

3, -1/5

c)

5,2

d)

3,0

76.

a)

4,-1

b)

8/3,9/5

c)

1/5,3/7

d)

7,-2

77.

a)

4, -5/3

b)

2/3, 6

c)

4/7,6

d)

-3/8,-7

78.

What should you do first in solving this equation?
x² + 6x - 13 = 3

a)

Get factored form

b)

Write down: a=1, b=6, c=-13

c)

Make it equal 0 by subtracting 3 on each side

d)

Type it all in a calculator.

79.

Which picture represents the Quadratic Formula?

a)

b)

c)

d)

80.

What are the a, b, and c values for the quadratic equation? $y=x^2-5x-14$

a)

$a=-5,\ b=1,\ c=14$

b)

$a=1,\ b=-5,\ c=-14$

c)

$a=1,\ b=5,\ c=14$

d)

$a=-1,\ b=-5,\ c=-14$

81.

Which is the correct set up of the quadratic formula for this equation: $y=x^2-5x-14$

a)

$\frac{-\left(-5\right)\pm\sqrt{\left(-5\right)^2-4\left(1\right)\left(-14\right)}}{2\left(1\right)}$

b)

$\frac{-\left(5\right)\pm\sqrt{\left(5\right)^2-4\left(1\right)\left(-14\right)}}{2\left(1\right)}$

c)

$\frac{-\left(-5\right)\pm\sqrt{\left(-5\right)^2-4\left(1\right)\left(14\right)}}{2\left(1\right)}$

82.

What are the 2 solutions to the quadratic equation: $y=x^2-5x-14$

(Hint: You should check 2 answers)

a)

-7

b)

-2

c)

2

d)

7

83.

What are the a, b, and c values for the quadratic equation? $y=2x^2+2x-12$

a)

$a=-2,\ b=-2,\ c=-12$

b)

$a=2,\ b=2,\ c=12$

c)

$a=2,\ b=-2,\ c=12$

d)

$a=2,\ b=2,\ c=-12$

84.

Which is the correct set up of the quadratic formula for this equation: $y=2x^2+2x-12$

a)

$\frac{-\left(-2\right)\pm\sqrt{\left(-2\right)^2-4\left(2\right)\left(-12\right)}}{2\left(2\right)}$

b)

$\frac{-\left(2\right)\pm\sqrt{\left(2\right)^2-4\left(2\right)\left(-12\right)}}{2\left(2\right)}$

c)

$\frac{-\left(2\right)\pm\sqrt{\left(2\right)^2-4\left(2\right)\left(12\right)}}{2\left(2\right)}$

85.

What are the 2 solutions to the quadratic equation: $y=2x^2+2x-12$
(Hint: You should check 2 answers)

a)

-2

b)

2

c)

-3

d)

3

86.

What are the a, b, and c values of the quadratic equation: $y=x^2+4x+3$

a)

$a=1,\ b=-4,\ c=-3$

b)

$a=-1,\ b=-4,\ c=-3$

c)

$a=1,\ b=4,\ c=3$

d)

$a=1,\ b=4,\ c=-3$

87.

Which is the correct set up of the quadratic formula for this equation: $y=x^2+4x+3$

a)

$\frac{-\left(4\right)\pm\sqrt{\left(4\right)^2-4\left(-1\right)\left(3\right)}}{2\left(-1\right)}$

b)

$\frac{-\left(-4\right)\pm\sqrt{\left(-4\right)^2-4\left(1\right)\left(3\right)}}{2\left(1\right)}$

c)

$\frac{-\left(4\right)\pm\sqrt{\left(4\right)^2-4\left(1\right)\left(3\right)}}{2\left(1\right)}$

88.

What are the 2 solutions to the quadratic equation: $y=x^2+4x+3$
(Hint: You should check 2 answers.)

a)

-3

b)

-1

c)

1

d)

3

89.

What are the a, b, and c values of the quadratic equation: $y=2x^2-3x-5$

a)

$a=2,\ b=-3,\ c=-5$

b)

$a=2,\ b=3,\ c=5$

c)

$a=-2,\ b=-3,\ c=-5$

d)

$a=3,\ b=2,\ c=-5$

90.

Which is the correct set up of the quadratic formula for this equation: $y=2x^2-3x-5$

a)

$\frac{-\left(-3\right)\pm\sqrt{\left(-3\right)^2-4\left(2\right)\left(-5\right)}}{2\left(2\right)}$

b)

$\frac{-\left(3\right)\pm\sqrt{\left(3\right)^2-4\left(2\right)\left(-5\right)}}{2\left(2\right)}$

c)

$\frac{-\left(-3\right)\pm\sqrt{\left(-3\right)^2-4\left(-2\right)\left(-5\right)}}{2\left(-2\right)}$

91.

What are the 2 solutions for the quadratic equation: $y=2x^2-3x-5$
(Hint: You should check 2 answers.)

a)

.75

b)

1

c)

2.5

d)

-1

92.

Which equation is the correct form of standard form?

a)

$y=bx^2+ax+c$

b)

$y=ax^2+bx+c$

c)

$y=cx^2+bx+a$

d)

$y=c+ax^2-bx$

93.

True/False: You can solve a quadratic equation by using either a table, graph, or quadratic formula.

a)

True

b)

False

94.

a)

A

b)

B

c)

C

d)

D

95.

a)

A

b)

B

c)

C

d)

D

96.

a)

A

b)

B

c)

C

d)

D

97.

a)

A

b)

B

c)

C

d)

D

98.

$b^2-4b+4=0$

a)

x = -2

b)

x = 2

c)

no real solution

d)

x = -2 and 2

99.

Solve x² - 5x + 10 = 0

a)

(5 - i√15)/2 , (5 + i√15)/2

b)

(5 - √15)/2 , (5 + √15)/2

c)

(5 - i√65)/2 , (5 + i√65)/2

d)

(5 - √65)/2 , (5 + √65)/2

100.

Use the quadratic formula to determine the solutions.

2x² - 9x - 35 = 0

a)

x = 7/2, x = -6

b)

x = -5/2, x =5

c)

x = -3/7, x =6

d)

x = -5/2, x = 7

101.

Look at the equation below.

$x^2+5x+7=0$

What are the solutions of the equation?

a)

$\frac{-5\pm\sqrt{3}}{2}$

b)

$\frac{-5\pm i\sqrt{3}}{2}$

c)

$\frac{-5\pm\sqrt{53}}{2}$

d)

$\frac{-5\pm i\sqrt{53}}{2}$

102.

Determine the values of a, b, and c for the quadratic equation:

4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

103.

Solve 2x² + 7x - 15 = 0

a)

x = -3/2 and x = 5

b)

No Solution

c)

x = -5 and x = 3/2

d)

x = 0.7 and x = 5

104.

Determine the values of a, b, and c for the quadratic equation:

4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

105.

Use the quadratic formula to solve 2x² + 2x - 12.

a)

-2, 3

b)

2, 3

c)

2, -3

d)

-2, -3

106.

Solve using the quadratic formula...

9x² = 4 + 7x

a)

b)

c)

d)

No solution

107.

$w^2+7w+4=0$

a)

$\frac{-7\pm\sqrt{33}}{2}$

b)

$\frac{-7\pm\sqrt{65}}{2}$

c)

$\frac{7\pm\sqrt{33}}{2}$

d)

$\frac{-7\pm3\sqrt{11}}{2}$

108.

$x^2-6x+4=0$

a)

$3\pm\sqrt{5}$

b)

$\frac{6\pm\sqrt{20}}{2}$

c)

$3\pm\sqrt{20}$

d)

$3\pm i\sqrt{13}$

109.

$t^2+4t=2$

a)

$\frac{-4\pm\sqrt{24}}{2}$

b)

$4\pm2\sqrt{6}$

c)

$-2\pm\sqrt{6}$

d)

$\frac{4\pm3\sqrt{8}}{2}$

110.

Use the graph to determine the solutions.

a)

-1 and -3

b)

1 and -3

c)

1 and 3

d)

-1 and 3

111.

Identify a, b, and c in: x²−6x+14

a)

a=3,b=5,c=9

b)

a=1,b=-6,c=14

c)

a=1,b=-6,c=-14

d)

a=1,b=6,c=14

112.

$b^2-4b+4=0$

a)

x = -2

b)

x = 2

c)

no real solution

d)

x = -2 and 2

113.

What is the "c" value in the equation

4x² = 76 ?

a)

4

b)

76

c)

0

d)

-76

114.

Name "c" for the equation
4x² - 5x + 7 = 10

a)

7

b)

17

c)

-5

d)

-3

115.

Determine the values of
a, b, and c for
the quadratic equation:
0 = -3 + 4x² – 8x

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

116.

a)

A

b)

B

c)

C

d)

D

117.

a)

F

b)

G

c)

H

d)

I

118.

How many solutions are there if the discriminant is positive.

a)

0

b)

1

c)

2

d)

Infinite

119.

What is true about the discriminant?

a)

It is Negative

b)

It is positive

c)

It is equal to ZERO

d)

It has two solutions

120.

What should you do first in solving this equation?
x² + 6x - 13 = 3

a)

Get factored form

b)

Write down: a=1, b=6, c=-13

c)

Make it equal 0 by subtracting 3 on each side

d)

Type it all in a calculator.

121.

Which expression gives the solutions of -5+2x²=-6x?

a)

A

b)

B

c)

C

d)

D

122.

a)

A

b)

B

c)

C

d)

D

123.

a)

A

b)

B

c)

C

d)

D

124.

Determine the values of
a, b, and c for
the quadratic equation:
4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

125.

Use the quadratic formula to solve 2x² + 2x - 12?

a)

-2, 3

b)

2, 3

c)

2, -3

d)

-2, -3

126.

Identify the 'b' value: y = 16x² -8x -24

a)

16

b)

-8

c)

8

d)

-24

127.

Identify the 'a' value: y = 16x² -8x -24

a)

16

b)

8

c)

-8

d)

-24

128.

Solve using the Quadratic Formula:
x² + 4x + 3 = 0

a)

x = 1 and x = 3

b)

x = 6 and x = -2

c)

x = -1 and x = -3

129.

Solve using the Quadratic Formula:

2x² + x - 4 = 0

a)

x = -¼ and x = -2

b)

x = 1.19 and x = -1.69

c)

x = 8 and x = -4

d)

x = 1.69 and x = 1.20

130.

Solve Using the Quadratic Formula
x² + 4x - 40 = -8

a)

-10 & -4

b)

-4 & 10

c)

-8 & 4

d)

8 & -4

131.

Solve by the quadratic formula.

2x²-x -3=0

a)

x=-3/2 x=1

b)

x= 3/2 x= -1

c)

x= -3/2 x= -1

d)

x= 3/2 x= 1

132.

Solve by the quadratic formula.

n² = 18n + 40

a)

{11 and -11}

b)

{16 and 2}

c)

{20 and -2}

d)

{10 and -4}

133.

Solve by the quadratic formula.

x² + 4x - 40 = -8

a)

{-10 , -4}

b)

{-4 , 10}

c)

{-8 , 4}

d)

{8 , -4}

134.

Solve by the quadratic formula.

x² - 8x = 0

a)

-8

b)

0, 8

c)

8

d)

2, 4

135.

Solve by the quadratic formula.

n² - 2n - 3 = 0

a)

{3 and-1}

b)

{4 and -4}

c)

{5 and -3}

d)

{8 and -7}

136.

Solve by the quadratic formula.

y² + 10y = -9

a)

1 and -12

b)

-1 and -9

c)

1 and -9

d)

1 and -1

137.

Solve and round your solution to the nearest whole number.

x² -4x = 5

a)

11 and -7

b)

1 and 3

c)

1.73 and -1.73

d)

5 and -1

138.

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

a)

-4.9 and -0.1

b)

-8.54 and 8.54

c)

-0.45 and 3.55

d)

-6.77 and 1.77

139.

Solve 2x² + 7x - 15 = 0

a)

-1.5 or 5

b)

No Solution

c)

-5 or 1.5

d)

0.7 or 5

140.

QUESTION 8

a)

A

b)

B

c)

C

d)

D

141.

QUESTION 6

a)

A

b)

B

c)

C

d)

D

142.

QUESTION 1

a)

A

b)

B

c)

C

d)

D

143.

Solve using the quadratic formula:
4x²+ 4x + 1 = 0

a)

x = -½

b)

x = -2

c)

x = 0

144.

Solve Using the Quadratic Formula
x² + 4x - 40 = -8

a)

-10 & -4

b)

-4 & 10

c)

-8 & 4

d)

8 & -4

145.

In the equation
y = x² +5x +7, match each leading coefficient with its correct letter

a)

a=0, b=5, c=7

b)

a=1, b=5, c=7

c)

a=7, b=5, c=1

146.

Solve using the quadratic formula...
9x² = 4 + 7x

a)

x = 2 and x = 3

b)

x = -1 and x = .25

c)

x = 1 and x = -.45

d)

x = 1.16, and x = -.38

147.

How many solutions does the equation 4x² + 4x + 1 = 0 have?

a)

0

b)

1

c)

2

d)

More than 2

148.

What should you do first in solving this equation?
x² + 6x - 13 = 3

a)

Get factored form

b)

Write down: a=1, b=6, c=-13

c)

Make it equal 0 by subtracting 3 on each side

d)

Type it all in a calculator.

149.

Name "c" for the equation
4x² - 5x + 7 = 10

a)

7

b)

17

c)

-5

d)

-3

150.

b² - 4ac would equal: y = 2x² -x -3

a)

25

b)

-23

c)

-25

d)

0

151.

What is this formula?

a)

This is the standard formula.

b)

This is the quadratic formula.

c)

This is the square root formula.

d)

This is the Pythagorean formula

152.

What does the discriminant tell us?

a)

The maximum or minimum

b)

The y-intercept

c)

The number of solutions

d)

The axis of symmetry

153.

If the discriminant is zero you will have

a)

no real solutions

b)

two real solutions

c)

1 real solution

154.

If the discriminant is negative, then the solution will be

a)

one real solution

b)

two real solutions

c)

no real solution

155.

Solve the equation by using quadratic formula.
Simplify your answer.

$3n^2\ =\ -n\ +14$

Type your answer like this 1 and 2 or 1/2 and 2/3.

(a)

156.

What is the discriminant of this graph?

a)

Positive

b)

Zero

c)

Negative

157.

What is the discriminant of this graph?

a)

Positive

b)

Zero

c)

Negative

158.

What is the discriminant of this graph?

a)

Positive

b)

Zero

c)

Negative

159.

Solve by completing the square:
k² − 12k + 23 = 0

a)

{6 + √13, 6 - √13}

b)

{-6 + √13, -6 - √13}

c)

{6 + √59, 6 - √59}

d)

{-6 + √59, -6 - √59}

160.

Solve by completing the square. Round.
x² -4x = 5

a)

11 and -7

b)

1 and 3

c)

1.73 and -1.73

d)

5 and -1

161.

Solve by completing the square.
y² + 10y = -9

a)

1 and -12

b)

-1 and -9

c)

1 and -9

d)

1 and -1

162.

Solve by completing the square.
x² +12x = 5

a)

X = 6 + √41 or 6 − √41

b)

X= 35 or 47

c)

X = −6 + √41 or −6 − √41

d)

X = √35 or √47

163.

Solve the equation by completing the square and then finding the roots.
x²+ 6x - 4 = 36

a)

x = -7, 7

b)

x = 4, -10

c)

x = -4 +- √7

d)

x = 10, -4

164.

Solve the following quadratics equation by completing the square...

x² + 4x + 1 = 0

a)

x = -2 ± √3

b)

x = -3 ± √2

c)

x = 2 ± √3

d)

x = 2 ± √2

165.

Solve the following equation by completing the square:
n² - 2n - 3 = 0

a)

{3 and-1}

b)

{4 and -4}

c)

{5 and -3}

d)

{8 and -7}

166.

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

a)

No Real Solution

b)

c)

d)

167.

Solve Using the Quadratic Formula
2x² + 7x - 15 = 0

a)

-1.5 or 5

b)

No Solution

c)

-5 or 1.5

d)

0.7 or 5

168.

What is the quadratic formula?

a)

$x=\frac{b-\sqrt{\left(b\right)^2-4\left(a\right)\left(c\right)}}{2\left(a\right)}$

b)

$x=\frac{-\left(b\right)\pm\sqrt{\left(b\right)^2-4\left(a\right)\left(c\right)}}{2\left(a\right)}$

c)

$x=\frac{\left(b\right)\pm\sqrt{\left(b\right)^2-4\left(a\right)\left(c\right)}}{2a}$

d)

$x=-\left(b\right)\pm\sqrt{b\pm4\left(a\right)\left(c\right)}$

169.

Solve the following quadratics equation by completing the square...

x² + 2x - 10 = 0

a)

x = -1 ± √11

b)

x = 1 ± √11

c)

x = 11 ± √1

d)

x = -11 ± √1

170.

Determine the values of a, b, and c for the quadratic equation:

4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

171.

Use the quadratic formula to solve 2x² + 2x - 12.

a)

-2, 3

b)

2, 3

c)

2, -3

d)

-2, -3

172.

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

a)

No Real Solution

b)

c)

d)

173.

Solve Using the Quadratic Formula
x² + 4x - 40 = -8

a)

-10 & -4

b)

-4 & 10

c)

-8 & 4

d)

8 & -4

174.

Solve using the quadratic formula.
2x² - 9x - 35 = 0

a)

x = 7/2, x = -6

b)

x = -5/2, x =5

c)

x = -3/7, x =6

d)

x = -5/2, x = 7

175.

What is the y-intercept?

a)

(2, 6)

b)

4

c)

-1,5

d)

(5.5, 0)

176.

Identify the vertex.

a)

(-2.5, 2.5)

b)

-6

c)

(-6, 0)

d)

(0, -6)

177.

X intercepts are also called....

a)

Solutions

b)

Parabolas

c)

Roots

d)

Puppies

178.

What are the x- intercepts?

a)

(0,0) and (0,4)

b)

(0,0) and (4,0)

c)

y= 0

d)

x= 2

179.

Use the graph to determine the solutions.

a)

-1 and -3

b)

1 and -3

c)

1 and 3

d)

-1 and 3

180.

Determine the values of
a, b, and c for
the quadratic equation:
4x² – 8x = 3
*remember right side should =0

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

181.

Identify a, b, and c in: x²−6x+14

a)

a=3,b=5,c=9

b)

a=1,b=-6,c=14

c)

a=1,b=-6,c=-14

d)

a=1,b=6,c=14

182.

Determine the values of a, b, and c for the quadratic equation:

4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

183.

$w^2+7w+4=0$

a)

$\frac{-7\pm\sqrt{33}}{2}$

b)

$\frac{-7\pm\sqrt{65}}{2}$

c)

$\frac{7\pm\sqrt{33}}{2}$

d)

$\frac{-7\pm3\sqrt{11}}{2}$

184.

$5x^2+3x-3=0$

a)

$\frac{-3\pm i\sqrt{51}}{10}$

b)

$\frac{-3\pm\sqrt{69}}{10}$

c)

$\frac{3\pm\sqrt{69}}{2}$

d)

$\frac{-3\pm3\sqrt{23}}{10}$

185.

$2y^2+2=9y$

a)

$\frac{-9\pm\sqrt{65}}{2}$

b)

$\frac{9\pm5\sqrt{13}}{4}$

c)

$\frac{9\pm\sqrt{65}}{4}$

d)

$\frac{-9\pm\sqrt{-97}}{4}$

186.

$x^2-6x+4=0$

a)

$3\pm\sqrt{5}$

b)

$\frac{6\pm\sqrt{20}}{2}$

c)

$3\pm\sqrt{20}$

d)

$3\pm i\sqrt{13}$

187.

$t^2+4t=2$

a)

$\frac{-4\pm\sqrt{24}}{2}$

b)

$4\pm2\sqrt{6}$

c)

$-2\pm\sqrt{6}$

d)

$\frac{4\pm3\sqrt{8}}{2}$

188.

$3x^2+5x+9=-5x+4$

a)

$\frac{-5\pm\sqrt{10}}{3}$

b)

$\frac{-10\pm\sqrt{40}}{6}$

c)

$\frac{-5\pm\sqrt{5}}{3}$

d)

$\frac{5\pm i\sqrt{5}}{3}$

189.

$2d^2+4=5d$

a)

$\frac{5\pm i\sqrt{7}}{4}$

b)

$\frac{-5\pm\sqrt{7}}{4}$

c)

$\frac{5\pm i\sqrt{57}}{4}$

d)

$\frac{-5\pm\sqrt{57}}{2}$

190.

$2x^2+2x+5=0$

a)

$\frac{-1\pm3i}{2}$

b)

$\frac{-1\pm i\sqrt{11}}{2}$

c)

$\frac{2\pm\sqrt{40}}{4}$

d)

$\frac{-1\pm i\sqrt{6}}{2}$

191.

$3n^2-8n+3=-4$

a)

$\frac{8\pm\sqrt{20}}{6}$

b)

$\frac{4\pm i\sqrt{5}}{3}$

c)

$\frac{8\pm5i\sqrt{2}}{6}$

d)

$\frac{4\pm\sqrt{-20}}{3}$

192.

Identify the maximum height of the child jumping off the diving board

A

B

C

D

E

F

193.

A raft is dropped from a helicopter 256 feet in the air above the ocean. Its approximate height, h, after t seconds is given by the function h(t) = -16t² + 256. How many seconds did it take the raft to hit the water?

a)

-4

b)

2

c)

4

d)

8

194.

If I want to find out when an object hits the ground, I should _________.

a)

Use x = (-b/2a) as my answer.

b)

Set my equation = 0 and solve.

c)

Replace x with 0 and evaluate.

d)

Find the y-coordinate of the vertex.

195.

Alain throws a stone off a bridge into a river below. The stone's height (in meters above the water), x seconds after Alain threw it, is modeled by:

h(x)= -5x² + 10x + 15

How many seconds after being thrown will the stone hit the water?

a)

-1 seconds

b)

1 second

c)

2 seconds

d)

3 seconds

196.

The function
f(t) = -5t²+20t + 60
models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground?

a)

4 seconds

b)

-2 seconds

c)

6 seconds

d)

9 seconds

197.

What is the initial (starting) height of an object following this path? h(t) = -16t² +20t + 6

a)

-16 feet

b)

0 feet

c)

20 feet

d)

6 feet

198.

If path of a projectile is modeled by:
h(t) = -16t² + 20t +6, what is the height after 1 second?

a)

6 feet

b)

20 feet

c)

10 feet

d)

4 feet

199.

1 The discriminant is

a)

aX² + bX + c

b)

b - 4ac

c)

b² - 4ac

d)

b² + 4ac

200.

2 For the function below, is the discriminant positive, negative, or zero?

y = x² + 4x + 4

a)

Positive

b)

Negative

c)

Zero

201.

2 A function has a discriminant of 4.

How many x-intercepts does it have?

a)

0

b)

1

c)

2

d)

4

202.

2 A function has a discriminant of 0.

How many x-intercepts does it have?

a)

0

b)

1

c)

2

d)

5

203.

3 What is the discriminant of

-2x² − x − 1 = 0 ?

a)

76

b)

-7

c)

9

d)

none of these

204.

3 For the function above, is the discriminant positive, negative, or zero?

a)

Positive

b)

Negative

c)

Zero

205.

3 For the function above, is the discriminant positive, negative, or zero?

a)

Positive

b)

Negative

c)

Zero

206.

Determine the value of the discriminant and name the nature of the roots for the following:
x² + 7x + 13
Remember: b² - 4ac

a)

400, 2 real root

b)

0, 1 real root with a multiplicity of 2

c)

-400, 2 imaginary roots

d)

-3, 2 imaginary roots

207.

A function has a discriminant of -3.
______________
How many x-intercepts does it have?

a)

0

b)

1

c)

2

d)

3

208.

What are the solutions of this graph?

a)

-2 and 3

b)

-1/2 and -6

c)

-2 and -6

d)

3 and -6

209.

If the discriminant is positive, then the solution will be

a)

One real solution

b)

two real solutions

c)

two non-real solutions

d)

all real numbers

210.

If the discriminant is negative, then the solution will be

a)

one real solution

b)

two real solutions

c)

two complex solutions

d)

all real numbers

211.

Find the sum.

(5-2i) + (-7+8i)

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

212.

Simplify:

(10+ 15i) - (48 - 30i)

a)

58 - 45i

b)

58 - 15i

c)

-38 - 15i

d)

-38 + 45i

213.

(2i)(3i)

a)

5i

b)

-5

c)

6i

d)

-6

214.

(3+8i)(-2-i)

a)

2-19i

b)

23-i

c)

34+5i

d)

23-i

215.

Factor:
x² + 5x - 24

a)

(x - 8)(x + 3)

b)

(x + 8)(x - 3)

c)

(x + 6)(x - 4)

d)

(x + 12)(x - 2)

216.

Factor:

x² + 11x + 24

a)

(x + 6)(x + 4)

b)

(x + 12)(x + 2)

c)

(x - 8)(x - 3)

d)

(x + 8)(x + 3)

217.

Factor:
x² - 10x + 24

a)

(x - 6)(x - 4)

b)

(x + 6)(x + 4)

c)

(x - 12)(x + 2)

d)

(x - 8)(x - 3)

218.

Factor:
x² - 10x - 24

a)

(x + 12)(x - 2)

b)

(x - 6)(x - 4)

c)

(x - 12)(x + 2)

d)

(x +6)(x - 4)

219.

Factor:
x² - 14x + 24

a)

(x - 8)(x - 3)

b)

(x - 12)(x - 2)

c)

(x - 6)(x - 4)

d)

(x - 24)(x - 1)

220.

Factor:
x² + 25x + 24

a)

(x + 5)(x + 5)

b)

(x + 24)(x + 1)

c)

(x + 12)(x + 2)

d)

(x + 8)(x + 3)

221.

Factor: x² + 2x – 3

a)

(x - 2)(x + 1)

b)

(x + 1)(x - 3)

c)

(x + 2)(x - 1)

d)

(x - 1)(x + 3)

222.

Factor
n² + 16n + 63

a)

(n-7)(n+4)

b)

(n+7)(n-9)

c)

(n-3)(n-10)

d)

(n+7)(n+9)

223.

Factor:
x² + 11x + 24

a)

(x + 6)(x + 4)

b)

(x + 12)(x + 2)

c)

(x - 8)(x - 3)

d)

(x + 8)(x + 3)

224.

a)

A

b)

B

c)

C

d)

D

225.

a)

A

b)

B

c)

C

d)

D

226.

Determine the values of
a, b, and c for
the quadratic equation:
4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

227.

Use the quadratic formula to solve 2x² + 2x - 12?

a)

-2, 3

b)

2, 3

c)

2, -3

d)

-2, -3

228.

Identify the 'b' value: y = 16x² -8x -24

a)

16

b)

-8

c)

8

d)

-24

229.

Identify the 'a' value: y = 16x² -8x -24

a)

16

b)

8

c)

-8

d)

-24

230.

What is this formula?

a)

This is the speed of light formula.

b)

This is the quadratic formula.

c)

This is the zero product property.

d)

This is scary.

231.

What is this formula?

a)

This is the speed of light formula.

b)

This is the quadratic formula.

c)

This is the zero product property.

d)

This is scary.

232.

a)

A

b)

B

c)

C

d)

D

233.

What is this formula?

a)

This is the standard formula.

b)

This is the quadratic formula.

c)

This is the square root formula.

d)

This is the Pythagorean formula

234.

Solutions of a quadratic equation are also called

a)

roots

b)

x-intercepts

c)

zeros

d)

All of the above

235.

$b^2-4ac$ is called the . . .

a)

Square root

b)

Quadratic formula

c)

X-intercepts

d)

Discriminant

236.

Identify a, b and c in the quadratic equation: $2x^2-3x-5=0$

a)

a = 2 , b = 3, c = -5

b)

a = 2, b = -3, c = 5

c)

a = 2, b = -3, c = -5

d)

a = -2, b = 3, c = 5

237.

What is the discriminant of $x^2+3x-4=0$

a)

25

b)

0

c)

-25

d)

-13

238.

In the equation
y = x² +5x +7, match each leading coefficient with its correct letter

a)

a=0, b=5, c=7

b)

a=1, b=5, c=7

c)

a=7, b=5, c=1

239.

The quadratic equation can be used to solve quadratic equations that cannot be factored.

a)

True

b)

False

240.

Identify the values of A, B, and C

5x²+ x - 18 = - 9x + 3x²

a)

A=2, B=10, C=-18

b)

A=5, B=1, C=-18

c)

A=8, B=-8, C=-18

d)

A=2, B=9, C=-18

241.

Identify the values of A, B, and C

3m²- 14 = 11m

a)

A=3, B=-11, C=-14

b)

A=3, B=-14, C=11

c)

A=3, B=11, C=-14

d)

A=3, B=-14, C=11

242.

What does the discriminant tell us?

a)

The maximum or minimum

b)

The y-intercept

c)

The number and type of solutions

d)

The axis of symmetry

243.

If the discriminant is positive, then the solution will be

a)

one real solution

b)

two real solutions

c)

no real solutions

d)

one imaginary solution

244.

What is the discriminant of 6x² − 2x − 3 = 0

a)

76

b)

29

c)

68

d)

none of these

245.

What is the discriminant of -2x² − x − 1 = 0

a)

76

b)

-7

c)

9

d)

none of these

246.

What are the solutions of $-1=-2x^2+3x$ ?

a)

$x=\frac{3\pm\sqrt{17}}{4}$

b)

$x=\frac{-3\pm\sqrt{18}}{4}$

c)

$x=\frac{3\pm\sqrt{17}}{-4}$

d)

$x=\frac{3\pm\sqrt{18}}{2}$

247.

What are the solutions of $-4b^2-12b=-6b^2+9-6b$ ?

a)

$b=3\pm3\sqrt{2}$

b)

$b=\frac{-5\pm2\sqrt{7}}{3}$

c)

$b=\frac{3\pm3\sqrt{3}}{2}$

d)

$b=\frac{6\pm3\sqrt{11}}{7}$

248.

What are the solutions of $a^2=6a+3$ ?

a)

$a=\frac{7\pm\sqrt{129}}{2}$

b)

$a=3\pm2\sqrt{3}$

c)

$a=\frac{7\pm\sqrt{69}}{2}$

d)

$a=\frac{-7\pm\sqrt{129}}{2}$

249.

Solve using The Quadratic Formula.

5x^2\ -\ 1\ =\ x

a)

x = $\frac{-1\pm\sqrt{21}}{10}$

b)

x = $\frac{1\pm\sqrt{21}}{10}$

c)

x = $\frac{1\pm\sqrt{21}}{5}$

d)

x = $\frac{1\pm\sqrt{19}}{10}$

250.

What is the green dot on the parabola called?

a)

maximum

b)

minumum

c)

roots

d)

zeros

251.

Standard form of a quadratic equation

a)

y=x²

b)

y=ax²+bx+c

c)

y=mx+b

d)

y=x

252.

What is the equation of this graph?

a)

f(x) = (x -5)² + 1

b)

f(x) = (x - 1)² - 5

c)

f(x) = (x + 1)² - 5

d)

f(x) = (x + 5)² +1

253.

What is the green dashed line called?

a)

roots or x-intercepts

b)

parabola

c)

axis of symmetry

d)

line of dashes

254.

The graph of a quadratic function is called a

a)

Parabola

b)

Vertex

c)

Axis of Symmetry

d)

Vertex Form

255.

What causes the graph of y = x² to open downward?

a)

multiply the x² by a fraction

b)

multiply the x² by a decimal

c)

multiply the x² by a negative number

d)

multiply the x² by a number greater than 1

256.

Find the axis of symmetry for

f(x) = x²- 8x + 15.

a)

x = -4

b)

x = 4

c)

y = 4

d)

y = -4

257.

What's the axis of symmetry of y = 3x²- 6x + 4

a)

x=1

b)

x=-6

c)

x=2

d)

x=-1

258.

Find the vertex y = x² - 2x - 5

a)

V(-2, 10)

b)

V(-1, 15)

c)

V(1, -6)

d)

V(1, -12)

259.

What piece of information does c identify in the following equation?

y = ax²+ bx + c

a)

Zeroes

b)

Axis of Symmetry

c)

Direction

d)

y-intercept

260.

Does the graph of this equation open up or down?
f(x) = -(x + 3)² - 5

a)

up

b)

down

261.

If the blue graph is f(x) = x²

then the red must be...

a)

g(x) = x²- 5

b)

g(x) = x²+ 5

c)

g(x) = (x - 5)²

d)

g(x) = (x + 5)²

262.

Which way is the graph of

y=\left(x-8\right)^2

shifted in comparison to

y=x^2

a)

left 8

b)

right 8

c)

up 8

d)

down 8

263.

What is the range of the function?

a)

y < -1

b)

y > -1

c)

y < -2

d)

y > -2

264.

What steps transform the graph y = x² to y = x² + 8

a)

shifted up 8 units

b)

shifted down 8 units

c)

shifted left 8 units

d)

shifted right 8 units

265.

Given the equation y = 3(x + 5)² - 4,

what is the vertex of the parabola?

a)

(5, -4)

b)

(-5, -4)

c)

(-15, -4)

d)

(15, -4)

266.

What steps transform the graph y = x² to y = 2(x+2)² - 5?

a)

compressed by 2, shifted 2 units left and 5 down

b)

Stretch by 5, shifted 5 units left and 2 down

c)

Stretch by 2, shifted 2 units left and 5 down

d)

compressed by 5, shifted 2 units left and 2 down

267.

Identify ALL of the transformations performed on $f\left(x\right)=x^2$ to create the graph of $g\left(x\right)=-\left(x-4\right)^2+2$

a)

reflection

b)

stretch

c)

compressed

d)

left 4, up 2

e)

right 4, up 2

268.

Identify ALL of the transformations performed on $f\left(x\right)=x^2$ to create the graph of $g\left(x\right)=-2\left(x-5\right)^2+10$

a)

reflection

b)

stretch

c)

compressed

d)

left 5, up 10

e)

right 5, up 10

269.

Identify ALL of the transformations performed on $f\left(x\right)=x^2$ to create the graph of $g\left(x\right)=\frac{1}{3}\left(x+2\right)^2-5$

a)

reflection

b)

stretch

c)

compressed

d)

left 2, down 5

e)

right 2, down 5

Quadratic Formula Quiz

Total questions: 269

Worksheet time: 17hrs 1mins