Free Printable Quadratics Unit Review

1.

$y=4(x+2)^2-8$

Convert the equation from vertex form to standard form.

a)

$y=4x^2+16x+8$

b)

$y=4x^2+16x+16$

c)

$y=16x^2+64x-8$

d)

$y=16x^2+256x+8$

2.

$y=4(x+2)^2-8$

Convert the equation from vertex form to standard form.

a)

$y=4x^2+16x+8$

b)

$y=4x^2+16x+16$

c)

$y=16x^2+64x-8$

d)

$y=16x^2+256x+8$

3.

$y=-3(x+5)^2-4$
Convert the equation from vertex form to standard form.

a)

y = 9x²- 15x + 21

b)

y = -3x²- 75x - 4

c)

y = 9x²+ 90x + 221

d)

y = -3x²- 30x - 79

4.

Convert to vertex form. y = -2x² + 24x + 5

a)

y=-2(x+12)² + 77

b)

y=-2(x-12)² + 77

c)

y=-2(x-6)² + 77

d)

y=-2(x+6)² + 77

5.

Convert to vertex form. f(x) = 4x² - 32x +2

a)

y=4(x+4)² - 62

b)

y=4(x-4)² - 62

c)

y=4(x-8)² - 62

d)

y=4(x+8)² - 62

6.

Convert the equation y= x²+ 4x + 11 into vertex form.

a)

y = (x + 2)² - 4

b)

y = (x + 2)² + 7

c)

y = (x + 2)²

d)

y = (x - 2)² - 7

7.

Convert to standard form: $y=\left(x+5\right)^2-15$

a)

$y=x^2+10$

b)

$y=x^2+10x\ +10$

c)

$y=x^2+25$

d)

$y=x^2+10x+25$

8.

Convert to standard form: $y=-2\left(x-3\right)^2+6$

a)

$y=-2x^2+12x-12$

b)

$y=-2x^2+6x+15$

c)

$y=-2x^2+12x-18$

d)

$y\ =\ -2x^2-12$

9.

Convert to standard form: $y=\frac{1}{5}\left(x+10\right)^2-12$

a)

$y=\frac{1}{5}x^2+8$

b)

$y=x^2+4x+8$

c)

$y=\frac{1}{5}x^2+4x+8$

d)

$y=\frac{1}{5}x^2+20$

10.

Convert to vertex form.

a)

y=-(x-5)² + 21

b)

y=-(x+5)² + 21

c)

y=-(x+10)² + 21

d)

y=-(x-10)² + 21

11.

Convert to vertex form: $y=2x^2+8x+11$

a)

$y=2\left(x+2\right)^2+3$

b)

$y=\left(x+4\right)^2-6$

c)

$y=y=2\left(x+4\right)^2+3$

d)

$y=2\left(x+2\right)^2-5$

12.

Which of the following is Standard Form?

a)

$y=ax^2+bx+c$

b)

$y=a\left(x-p\right)\left(x-q\right)$

c)

$y=a\left(x-h\right)^2+k$

13.

Which of the following is Vertex Form?

a)

$y=ax^2+bx+c$

b)

$y=a\left(x-p\right)\left(x-q\right)$

c)

$y=a\left(x-h\right)^2+k$

14.

Which of the following is Factored Form?

a)

$y=ax^2+bx+c$

b)

$y=a\left(x-p\right)\left(x-q\right)$

c)

$y=a\left(x-h\right)^2+k$

15.

Convert to Vertex Form:

f(x) = x² +8x +14

a)

f(x) = (x - 4)² + 2

b)

f(x) = (x - 4)² - 2

c)

f(x) = (x + 4)² + 2

d)

f(x) = (x + 4)² - 2

16.

Convert to Standard Form:

f(x) = (x+7)(x-3)

a)

f(x) = x² +10x +21

b)

f(x) = x² -10x -21

c)

f(x) = x² +4x -21

d)

f(x) = x² +4x +21

17.

Convert to Factored Form

(hint...take out the greatest common factor first)

2c² + 2c - 84

a)

(c-6)(2c+14)

b)

(c+7)(2c-12)

c)

(c-4)(2c+21)

d)

2(c+7)(c-6)

18.

What are the x-intercepts for the function?

f(x) = (x + 7)(x + 5)

a)

(7 , 0) and (5 , 0)

b)

(0 , 7) and (0 , 5)

c)

(-7 , 0) and (-5 , 0)

d)

(7 , 0) and (5 , 0)

19.

Determine the vertex of the parabola y=5(x-2)²–7

a)

(5, -7)

b)

(-2, -7)

c)

(2, -7)

d)

(-7, -2)

20.

What is the vertex?

a)

(2, 4)

b)

(3, -1)

c)

(0, 8)

d)

(4, 2)

21.

The U-Shaped graph of a quadratic function is called a?

a)

Marabola

b)

X-value

c)

Parabola

d)

Height

22.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

23.

What is the vertex?
y = -2x² + 4x + 3

a)

(0, 3)

b)

(-1, 5)

c)

(1, 5)

d)

(1, -5)

24.

What is the vertex?
y = -2x² + 4x + 3

a)

(0, 3)

b)

(-1, 5)

c)

(1, 5)

d)

(1, -5)

25.

What is the vertex?
f(x) = 2(x - 5)² + 12

a)

(-5, -12)

b)

(5,-12)

c)

(5, 12)

d)

(-5, 12)

26.

What is the axis of symmetry?
f(x) = x²- 8x + 15.

a)

x = -4

b)

x = 4

c)

y = 4

d)

y = -4

27.

What is the axis of symmetry?
y = 3x²- 6x + 4

a)

x=1

b)

x=-6

c)

x=2

d)

x=-1

28.

True or false:
The root, x-intercept, and zero are all the same thing

a)

True

b)

False, because the solution and root are the same but the x-intercept and zero are different

c)

False, because the x-intercept and root are the same but the zero and solution are different

d)

False, they are all different

29.

What is the vertex?
f(x) = -x²- 4x + 12.

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

30.

What is the vertex?

a)

(2, 4)

b)

(3, -1)

c)

(0, 8)

d)

(4, 2)

31.

What do we call the highest or lowest point of a quadratic?

a)

parabola

b)

vertex

c)

graph

d)

point

32.

How many zeros does this parabola have?

a)

3

b)

2

c)

0

d)

1

33.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

34.

What is the y-intercept?
f(x) = 2(x - 5)² + 12

a)

(0, -5)

b)

(0,12)

c)

(0, 62)

d)

(0, 212)

35.

What is the y-intercept?
f(x) = -2x² + 4x - 6

a)

(0, 6)

b)

(0, -6)

c)

(6, 0)

d)

(-6, 0)

36.

If each mark on the x-axis represents one second, when did the object reach its maximum height?

a)

2.5 seconds

b)

2 seconds

c)

5.5 seconds

d)

3 seconds

37.

If each mark on the x-axis represents one second, when did the object reach the ground?

a)

2.5 seconds

b)

6 seconds

c)

5.5 seconds

d)

5 seconds

38.

The object was thrown or launched from what position?

a)

At the ground

b)

Above the ground

c)

Below the ground

39.

Match the following form to its correct name

a)

$y=ax^2+bx+c$

1.

Standard Form

b)

$y=a\left(x-h\right)^2+k$

2.

Vertex Form

c)

$y=a\left(x-p\right)\left(x-q\right)$

3.

Factor Form

40.

What is the Axis of Symmetry for the equation: $x^2-2x-3$

a)

x = -1

b)

y = -1

c)

x = 1

d)

y = 1

41.

Determine what the vertex is AND determine what the vertex represents

a)

-1, 3

Minimum

b)

2, 0

Maximum

c)

0, 8

Maximum

d)

3, -1

Minimum

42.

Graph the Equation:

$f\left(x\right)=-x^2+4x+1$

43.

Graph the Equation:

$f\left(x\right)=\frac{1}{2}\left(x-1\right)^2-2$

44.

Write the equation that models the function graphed

a)

Not Possible

b)

$y=-\left(x-1\right)^2-1$

c)

$y=x^2+2x$

d)

$f\left(x\right)=-x^2+2x-3$

45.

Does this parabola open up or down?

y = 4x² - 3x - 9

a)

up

b)

down

46.

Given the function y = x²+ 2x - 16; what is the value of y when x = -2

a)

y = -16

b)

y = -24

c)

y = 0

d)

y = 8

47.

Given the equation y = -3x² - 6x + 10, what is the value of y when x = -4

a)

y = -15

b)

y = 82

c)

y = -14

d)

y = 178

48.

Given y = 6x + 7x² - 20 what is the value of b

a)

b = 6

b)

b = 7

c)

b = 2

d)

b = -20

49.

What is the graph of this function: y = x²- 4x

a)

b)

c)

d)

50.

What is the graph of y = -3x² + 12x - 16

a)

b)

c)

d)

51.

Is the graph shown above a max or min?

a)

Maximum

b)

Minimum

52.

What is the domain of the graph shown above.

a)

x=19

b)

all real numbers

c)

y=3

d)

Maximum

53.

What are the zeros of the graph shown above?

a)

2 and 6

b)

4 and 2

c)

6 and 9

d)

5 and 1

54.

What is a axis of symmetry?

a)

all real numbers

b)

y=5

c)

the line that divides the graph in equal halves

d)

y=mx+b

55.

Is the graph shown above a max or min?

a)

Minimum

b)

Maximum

56.

What is the y-intercept of the graph shown above?

a)

all real numbers

b)

(0,6)

c)

(0,2)

d)

(0,-6)

57.

What is the vertex of the graph shown above?

a)

(7,6)

b)

(-1,2)

c)

(2,-1)

d)

(5,0)

58.

Graph the following equation:

y=x²-2x-3

a)

b)

c)

d)

59.

a)

A

b)

B

c)

C

d)

D

60.

a)

A

b)

B

c)

C

d)

D

61.

a)

A

b)

B

c)

C

d)

D

62.

a)

A

b)

B

c)

C

d)

D

63.

Factor:
2x² + 13x + 15

a)

(2x + 1)(x + 15)

b)

(x + 3)(x + 5)

c)

(2x - 3)(x - 5)

d)

(2x + 3)(x + 5)

64.

Factor:
2x² -15x + 27

a)

(2x - 9)(x - 3)

b)

(2x + 9)(x + 3)

c)

(2x - 5)(x - 3)

d)

(x - 9)(x - 3)

65.

Factor:
8x² + 22x + 5

a)

(x + 1)(2x + 5)

b)

(8x + 1)(x + 5)

c)

(4x + 1)(2x + 5)

d)

(4x - 1)(2x - 5)

66.

Factor:
10x² + 9x - 7

a)

(5x + 10)(2x - 7)

b)

(10x + 2)(x - 3)

c)

(5x + 3)(2x + 1)

d)

(5x + 7)(2x - 1)

67.

Find the 2 factors of $6x^2+x-1$

a)

(3x+2)

b)

(2x-1)

c)

(6x-1)

d)

(x+1

68.

Find the 2 factors of 2x²+8x+8

a)

(x+8)

b)

(2x+4)

c)

(2x+2)

d)

(x+2)

69.

Find the 2 factors of 4x²+13x-35

a)

(4x+5)

b)

(x+5)

c)

(4x-7)

d)

(x-7)

70.

Find the 2 factors of 21x²-31x+4

a)

(7x-1)

b)

(7x+2)

c)

(3x+2)

d)

(3x-4)

71.

Find the 2 factors of x²+x-56

a)

(x-7)

b)

(x+8)

c)

(x+7)

d)

(x-8)

72.

Find the 2 factors of x²-x-6

(a)

73.

Find the 2 factors of 8x²+23x-36

(a)

74.

Find the 2 factors of 2x²-13x-45

(a)

75.

Find the 2 factors of 4x²+12x+5

(a)

76.

Find the 2 factors of 5x²-16x+3

(a)

77.

What are the x-intercept/s of the function?

a)

(3,0)

b)

(-3,0)

c)

(9,0) & (-9,0)

d)

(-3, 0) & (3, 0)

78.

a)

m=±81

b)

m=±9

c)

m=±3

d)

No real solution

79.

a)

±72

b)

±12

c)

12

d)

No real solution

80.

a)

√3

b)

±√3

c)

-3

d)

No real solution

81.

a)

-4, 2

b)

-2, 4

c)

-16

d)

-4

82.

a)

-2, 4

b)

-8

c)

±8

d)

No real solution

83.

a)

-3, 4

b)

3, 4

c)

-4, -3

d)

-3

84.

a)

-6, -2

b)

-2, 6

c)

2, 6

d)

-6, 2

85.

Convert x²-9x+20 to factored form and solve.

a)

(x-10)(x+2); x=-2, 10

b)

(x+4)(x+5); x=-5, -4

c)

(x-4)(x-5); x=4, 5

d)

Not factorable

86.

Which of the following is not quadratic equation?

I. 9𝑟 ² – 25 = 0

II. 𝑥 ² – 5𝑥 + 3 = 0

III. 8𝑘 – 3 = 12

IV. (2𝑥 + 5) (𝑥 – 1) = −6

a)

I and II

b)

III and IV

c)

IV only

d)

III only

87.

A practical way to solve 𝑥² – 25 = 0.

a)

factoring

b)

completing the square

c)

extracting the square root

d)

quadratic formula

88.

What are the roots of 𝑥² – 144 = 0?

a)

± 13

b)

± 24

c)

± 11

d)

± 12

89.

Solve: 4𝑥 ² – 80 = 0 by extracting the square root.

a)

± 5

b)

±5√2

c)

±2

d)

±2√5

90.

3x² = 12

a)

± 2

b)

2

c)

± √12

d)

± 4

91.

-5x² = -50

a)

± 5

b)

± 10

c)

± √10

d)

-10

92.

(x - 2) ² = 9

a)

± 3

b)

5 or -1

c)

-5 or 1

d)

± 9

93.

(x + 1) ² = 25

a)

± 5

b)

4 or -6

c)

-4 or 6

d)

± 4

94.

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

a)

4

b)

2

c)

8

d)

20

95.

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}

96.

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

97.

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

a)

1 and -12

b)

-1 and -9

c)

1 and -9

d)

1 and -1

98.

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}

99.

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

100.

Complete the Square
x² + 10x + ____

a)

x² + 10x - 100

b)

x² + 10x + 100

c)

x² + 10x - 25

d)

x² + 10x + 25

101.

Complete the square.
x² + 14x + ____

a)

x² + 14x - 196

b)

x² + 14x + 49

c)

x² + 14x - 49

d)

x² + 14x + 196

102.

Complete the square for
x² + 12x + ____

a)

x² + 12x + 144

b)

x² + 12x + 36

c)

x² + 12x - 36

d)

x² + +12x - 144

103.

Complete the Square
x² + 6x = 5

a)

(x + 3)² = 5

b)

(x + 6)² = 9

c)

(x + 3)² = 14

d)

(x + 6)² = 14

104.

Complete the square.
x² + 6x + ____

a)

x² + 6x + 9

b)

x² + 6x - 36

c)

x² + 6x + 36

d)

x² + 6x - 9

105.

Complete the square for the equation:

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

a)

$\left(x+3\right)^2=4$

b)

$\left(x-3\right)^2=4$

c)

$\left(x+3\right)^2=13$

d)

$\left(x-3\right)^2=13$

106.

Complete the square for the equation:

$x^2-10x+7=0$

a)

$\left(x-5\right)^2=18$

b)

$\left(x+5\right)^2=18$

c)

$\left(x-5\right)^2=-7$

d)

$\left(x+5\right)^2=-7$

107.

Complete the square for the equation:

$x^2-24x+23=0$

a)

$\left(x+12\right)^2=121$

b)

$\left(x-12\right)^2=121$

c)

$\left(x+12\right)^2=144$

d)

$\left(x-12\right)^2=144$

108.

Solve by completing the square.
$x^2-8x-20=0$

a)

$x=\left\{-2,\ 10\right\}$

b)

$x=\left\{-10,\ 2\right\}$

c)

$x=\left\{-20,\ -8\right\}$

d)

$x=\left\{8,\ 20\right\}$

109.

Solve by completing the square.
$x^2-12x+20=0$

a)

$x=\left\{2,\ 10\right\}$

b)

$x=\left\{-10,\ -2\right\}$

c)

$x=\left\{-12,\ 20\right\}$

d)

$x=\left\{12,\ 20\right\}$

110.

Solve by completing the square.
$x^2-4x-20=0$

a)

$x=\left\{\pm6\sqrt{2}-2\right\}$

b)

$x=\left\{\pm6\sqrt{2}+2\right\}$

c)

$x=\left\{\pm2\sqrt{6}+2\right\}$

d)

$x=\left\{\pm2\sqrt{6}-2\right\}$

111.

Solve by completing the square.
$x^2-6x-27=0$

a)

$x=\left\{-9,\ -3\right\}$

b)

$x=\left\{-3,\ 9\right\}$

c)

$x=\left\{-9,\ 3\right\}$

d)

$x=\left\{3,\ 9\right\}$

112.

Solve by completing the square.
$x^2-14x-15=0$

a)

$x=\left\{1,\ 15\right\}$

b)

$x=\left\{-15,\ -1\right\}$

c)

$x=\left\{-15,\ 1\right\}$

d)

$x=\left\{-1,\ 15\right\}$

113.

Solve by completing the square.
$x^2-6x-59=0$

a)

$x=\left\{\pm2\sqrt{17}+3\right\}$

b)

$x=\left\{\pm17\sqrt{2}+3\right\}$

c)

$x=\left\{\pm2\sqrt{17}-3\right\}$

d)

$x=\left\{\pm17\sqrt{2}-3\right\}$

114.

Solve by completing the square.
$x^2-4x-5=0$

a)

$x=\left\{-5,\ 1\right\}$

b)

$x=\left\{-1,\ 5\right\}$

c)

$x=\left\{-5,\ -1\right\}$

d)

$x=\left\{1,\ 5\right\}$

115.

Solve by completing the square.
$x^2-4x-21=0$

a)

$x=\left\{-7,\ 3\right\}$

b)

$x=\left\{3,\ 7\right\}$

c)

$x=\left\{-3,\ 7\right\}$

d)

$x=\left\{-7,\ -3\right\}$

116.

Solve by completing the square.
$x^2-16x+48=0$

a)

$x=\left\{-12,\ 4\right\}$

b)

$x=\left\{-12,\ -4\right\}$

c)

$x=\left\{-4,\ 12\right\}$

d)

$x=\left\{4,\ 12\right\}$

117.

Solve by completing the square.
$x^2-8x-14=0$

a)

$x=\left\{\pm\sqrt{30}+4\right\}$

b)

$x=\left\{\pm\sqrt{4}+30\right\}$

c)

$x=\left\{\sqrt{30}+4\right\}$

d)

$x=\left\{\sqrt{30}-4\right\}$

118.

Determine the vertex from the following equation: $-3\left(x-4\right)^2+1$

a)

Vertex: (4,1)

b)

Vertex: (-4, -1)

c)

Vertex: (4, -1)

d)

Vertex: (-4, 1)

119.

Determine the vertex from the following equation: $-\left(x+1\right)^2-1$

a)

Vertex: (1,-1)

b)

Vertex: (-1, 1)

c)

Vertex: (-1, -1)

d)

Vertex: (1, 1)

120.

Determine the vertex from the following equation: $\frac{1}{2}\left(x+4\right)^2+1$

a)

Vertex: (-4, 1)

b)

Vertex: (-4, -1)

c)

Vertex: (4, 1)

d)

Vertex: (4, -1)

121.

Determine the axis of symmetry from the following equation: $-\left(x-2\right)^2+4$

a)

A. O. S: 2

b)

A. O. S: 4

c)

A. O. S: -2

d)

A. O. S: -1

122.

Determine the axis of symmetry of the following equation: $-2\left(x+2\right)^2+3$

a)

A. O. S: 3

b)

A. O. S: -2

c)

A. O. S: 2

d)

A. O. S: 1

123.

Determine the axis of symmetry of the following equation: $\left(x-3\right)^2+5$

a)

A. O. S: 1

b)

A. O. S: -3

c)

A. O. S: 3

d)

A. O. S: 5

124.

Determine if the following equation has a maximum or minimum: $-\left(x-2\right)^2+7$

a)

Maximum

b)

Minimum

125.

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

126.

Which equation is graphed above?

a)

$y=-\left(x-1\right)^2+4$

b)

$y=\left(x-1\right)^2+4$

c)

$y=-\left(x-4\right)^2+1$

d)

$y=\left(x-4\right)^2+1$

127.

Which equations matches the graph above?

a)

$h\left(x\right)=\ \left(x+1\right)^2-4$

b)

$h\left(x\right)=-\left(x+1\right)^2-4$

c)

$h\left(x\right)=\left(x+4\right)^2-1$

d)

$h\left(x\right)=-\left(x+4\right)^2+1$

128.

Which equation matches the graph above?

a)

$r\left(x\right)=-\left(x+4\right)^2-1$

b)

$r\left(x\right)=\left(x+4\right)^2-1$

c)

$r\left(x\right)=-\left(x-4\right)^2+1$

d)

$r\left(x\right)=\left(x-4\right)^2+1$

129.

Which of the following shows
f(x) = x² + 12x - 2
written in vertex form?

a)

f(x) = (x + 6)² + 142

b)

f(x) = (x + 6)² - 34

c)

f(x) = (x + 6)² - 38

d)

f(x) = (x + 6)² + 34

130.

Which of the following shows
f(x) = x² - 8x + 1
written in vertex form?

a)

f(x) = (x - 4)² - 15

b)

f(x) = (x - 4)² + 17

c)

f(x) = (x - 4)² - 17

d)

f(x) = (x - 4)² + 65

131.

Which function is equivalent to
y = x² - 6x + 10?

a)

y = (x + 3)² - 1

b)

y = (x - 3)² + 1

c)

y = (x + 6)² - 10

d)

y = (x - 6)² + 10

132.

Convert the equation
x²-12x+40
into vertex form

a)

(x+6)²-4

b)

(x+6)²+4

c)

(x-6)²-4

d)

(x-6)²+4

133.

Convert the equation y= x²+ 4x + 11 into vertex form.

a)

y = (x + 2)² - 4

b)

y = (x + 2)² + 7

c)

y = (x + 2)²

d)

y = (x - 2)² - 7

134.

What is the equation for this parabola in factored form?

a)

y=(x+2)(x-1)

b)

y=(x-2)(x+1)

c)

y=(x-2)(x-1)

d)

y=(x+2)(x+1)

135.

What are the x-intercepts of the parabola?

y = -3(x + 5)(x - 9)

a)

(-5, 0) and (9, 0)

b)

(5,0) and (-9, 0)

c)

(5, 0) and (9, 0)

d)

(-3, 0) and (5, 0)and (-9, 0)

136.

State the direction of opening of the following: y = -(x+3)(x-2)

a)

Left

b)

Up

c)

Down

d)

Right

137.

Write the equation of the graph in factored form.

a)

(x-4)(x+3)=0

b)

-(x+3)(x-4)=0

c)

(x+4)(x-3)=0

d)

-(x-3)(x+4)=0

138.

Write the equation of the following in factored form:
y = a(x - p)(x - q)

a)

y = (x - 5)(x - 9)

b)

y = (x + 5)(x + 9)

c)

y = -1(x - 5)(x - 9)

d)

y = -1(x + 5)(x + 9)

139.

Write the equation of the following in factored form:
y = a(x - p)(x - q)

a)

y = (x - 1)(x - 7)

b)

y = (x - 7)(x - 6)

c)

y = (x + 7)(x + 1)

d)

y = -1(x + 1)(x + 7)

140.

What is the range of this function?

a)

All real numbers.

b)

All real numbers greater than or equal to 0.

c)

All real numbers greater than or equal to -2.

d)

All real numbers greater than or equal to 2.

141.

What are the x-intercepts for g(x) = (x + 8)(x + 2)

a)

8 and 2

b)

(8, 2)

c)

-8 and - 2

d)

(-8, -2)

142.

Determine the vertex of j(x) = (x - 8)(x + 3)

a)

(-8, 3)

b)

(8, -3)

c)

(2.5, -30.25)

d)

(5, -24)

143.

Write an equation of this graph in intercept (factored) form.

a)

h(x) = (x - 1)(x + 3)

b)

h(x) = (x + 1)(x - 3)

144.

What is the quadratic function for the graph in intercept form?

a)

y = (x - 2)(x - 6)

b)

y = - (x - 2)(x - 6)

c)

y = (x + 2)(x + 6)

d)

y = (x + 4)(x - 4)

145.

What is the vertex of $y\ =\ -\left(x+7\right)\left(x+5\right)$ ?

4 lines

146.

What is the vertex of $y=\frac{1}{3}\left(x-7\right)\left(x-1\right)$ ?

4 lines

147.

$y=-\left(x+7\right)\left(x+3\right)$

What is the vertex?

4 lines

148.

$y=2\left(x-1\right)\left(x+1\right)$

What is the vertex?

4 lines

149.

$y=\left(x-7\right)\left(x-3\right)$

What is the vertex?

4 lines

150.

$y=\left(x+4\right)\left(x+2\right)$

What is the vertex?

4 lines

151.

$y=\left(x+3\right)\left(x+1\right)$

What is the vertex?

4 lines

152.

$y=\frac{1}{2}\left(x-2\right)\left(x+6\right)$

What is the vertex?

4 lines

153.

$y=-\left(x-5\right)\left(x-1\right)$

What is the vertex?

4 lines

154.

$y=2x\left(x-2\right)$

What is the vertex?

4 lines

155.

Given y=2(x+3)(x-7), find the vertex.

a)

(2, -50)

b)

(10, 50)

c)

(-2, -18)

d)

(4, -42)

156.

Find the vertex y = (x - 5)(x - 1)

a)

(5, 1)

b)

(-5, - 1)

c)

(3, -4)

d)

(-3, 32)

157.

What is the x-coordinate of the vertex of the parabola?
y = (x - 8)(x + 2)

a)

3

b)

-3

c)

8 and -2

d)

-8 and 2

158.

What is the vertex of the function?

a)

(-3, -16)

b)

(3, 20)

c)

(-6, -7)

d)

(0, -7)

159.

In factored form you can see the ______ of the graph easily.

a)

y-intercept

b)

vertex

c)

x-intercepts

160.

.How many zeros does this parabola have?

a)

3

b)

2

c)

0

d)

1

161.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

162.

What is the green dot on the parabola called?

a)

vertex

b)

minumum

c)

roots

d)

zeros

163.

Identify and classify the vertex.

a)

(-6,5); minimum

b)

(-6,5); maximum

c)

(5,-6); minimum

d)

(5,-6); maximum

164.

What are the x-intercepts? Check all that apply.

a)

-1

b)

-7

c)

1

d)

7

e)

-4

165.

Match the form of the quadratic to the key feature that it represents best

a)

Standard Form

$y=ax^2+bx+c$

1.

y-intercept

b)

Factored Form

$y=a\left(x-x_1\right)\left(x-x_2\right)$

2.

x-intercept(s)

c)

Vertex Form

$y=a\left(x-h\right)^2+k$

3.

vertex

166.

WITHOUT USING DESMOS, what is the vertex for the following quadratic?

$2\left(x+4\right)^2-1$

a)

(4,1)

b)

(4,-1)

c)

(-4,1)

d)

(-4,-1)

167.

WITHOUT USING DESMOS

$x^2+10x-25$

What is the y intercept?

TYPE A FULL ORDERED PAIR

(a)

168.

WITHOUT USING DESMOS

If the x intercepts are -3 and 5, which equation in intercept form would represent this?

a)

$y=\left(x+3\right)\left(x-5\right)$

b)

$y=\left(x-3\right)\left(x-5\right)$

c)

$y=\left(x-3\right)\left(x+5\right)$

d)

$y=\left(x+3\right)\left(x+5\right)$

169.

WITHOUT USING DESMOS

If the factored form of the quadratic shown is

$y=\left(x+4\right)\left(x-6\right)$ , what are the x-intercepts?

a)

4 and -6

b)

-4 and 6

c)

4 and 6

d)

-4 and -6

170.

Factored Form $y=\left(x-x_1\right)\left(x-x_2\right)$

Given the graph, write the equation of the quadratic in factored form

(start with y=)

171.

Vertex Form: $y=\left(x-h\right)^2+k$

Given the graph, write the equation of the quadratic in vertex form.

(start with y=)

172.

What are the root(s) for g(x) =3(x + 8)(x + 2)

a)

(8,0) (2, 0)

b)

(3, 0)

c)

(-8,0) and (-2,0)

d)

(0,-8) and (0,-2)

173.

What are the root(s) for g(x) = (x -10)(x + 1)

a)

(10,0) and (-1, 0)

b)

(-10, 1)

c)

(-10,0) and (-1,0)

d)

(0,10) and (0,-1)

174.

What point contains the minimum or maximum value of a parabola?

a)

axis of symmetry

b)

vertex

c)

roots

d)

y-intercept

175.

Which equation is the intercept form of a quadratic function?

a)

f(x) = mx + b

b)

f(x) = a(x - p)(x -q)

c)

f(x) = ax² + bx + c

d)

f(x) = a(x - h)² + k

176.

Which equation is the vertex form of a quadratic function?

a)

f(x) = mx + b

b)

f(x) = a(x - m)(x - n)

c)

f(x) = ax² + bx + c

d)

f(x) = a(x - h)² + k

177.

Which equation is the standard form of a quadratic function?

a)

f(x) = mx + b

b)

f(x) = a(x - m)(x - n)

c)

f(x) = ax² + bx + c

d)

f(x) = a(x - h)² + k

178.

What is the axis of symmetry for the quadratic

y=2\left(x-3\right)\left(x-2\right)

a)

x=5

b)

x=5/2

c)

x=-5

d)

x=-5/2

179.

What is the vertex for the quadratic

y=-\left(x-6\right)\left(x+4\right)

a)

(-1, 15)

b)

(-1, -15)

c)

(1, 25)

d)

(1,-25)

180.

What is the y-intercept for the equation

$y=0.25\left(x+5\right)^2-9$

(a)

181.

Which of the following quadratic equation has a vertex at $\left(9,\ -2\right)$ . Select all that apply

a)

$y=3\left(x-9\right)^2-2$

b)

$y=5\left(x+9\right)^2-2$

c)

$y=-2\left(x-9\right)^2-2$

d)

$y=5\left(x+9\right)^2-2$

e)

$y=\left(x-9\right)\left(x+2\right)$

182.

$y=-0.25\left(x-8\right)\left(x+4\right)$

Determine the x-intercepts

a)

(8,0) and (4,0)

b)

(8,0) and (-4,0)

c)

(-8,0) and (4,0)

d)

(.25,0) (8,0) and (-4,0)

183.

True or false: The y-intercept and vertex are the same

a)

True they are both at (0,-4)

b)

True they are both at (-2,0)

c)

False the y-intercept is at (-2,0)

d)

False the y-intercept is at (2,0)

184.

How many roots does y=x²+2x+4 have?

a)

one

b)

two

c)

none

185.

How many roots does y=x² - 8x + 16 have?

a)

one

b)

two

c)

none

186.

How many roots does y=x² + 2x - 3 have?

a)

one

b)

two

c)

none

187.

Identify a, b, and c if y = +3x²+5x - 8

a)

a=3, b=5, c= - 8

b)

A=3, B=-8, C=5

c)

A=3x², B=5x, C=-8

d)

A=3x² , B=-8, C=5x

188.

What is c in the following equation?
y=ax²+bx+c

a)

Zeroes

b)

Axis of Symmetry

c)

Direction

d)

y-intercept

189.

Select the answer that has a, b, and c correctly labeled:

y=-x^2+2x-9

a)

a= 1, b= 2, c= -9

b)

a= 2, b= -1, c= 9

c)

a= -9, b= 2, c= -1

d)

a= -1, b= 2, c= -9

190.

What is the first step when factoring polynomials?

a)

Find the GCF

b)

List all the terms

c)

Make the X and fill in the top and bottom

d)

Multiply a and c

191.

Factor using GCF or monomial factoring:

2n²-8n³

a)

2n²(n-4n²)

b)

2n²(1-4n)

c)

2n³(10-8n²)

d)

3n(1-4n)

192.

What is the common monomial factor of $6x^3+3x^2-12x$ ?

a)

$3$

b)

$2x$

c)

$3x$

d)

$3x^2$

193.

What is a relationship or expression involving one or more variables?

a)

Function

b)

Input

c)

Output

d)

Quadratic

194.

Which of the following quadratics are in vertex form?

Check all that apply.

a)

$y=-\left(x+5\right)^2-2$

b)

$y=\left(x+1\right)^2$

c)

$y=x\left(x-9\right)$

d)

$y=4x^2+2x-9$

e)

$y=\left(x-4\right)\left(x+2\right)$

195.

Which of the following quadratics are in intercept form?

Check all that apply.

a)

$y=-\left(x+5\right)^2-2$

b)

$y=\left(x+1\right)^2$

c)

$y=4x^2+2x-9$

d)

$y=\left(x-4\right)\left(x+2\right)$

196.

Convert the quadratic below to standard form:

y=-2\left(x-1\right)\left(x+3\right)

What is the value of c?
answer should be ONE number with no spaces

(a)

Quadratics Unit Review

Total questions: 196

Worksheet time: 49hrs 0mins

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