Free Printable Quadratic Functions

1.

a)

x = 2

b)

x = 3

c)

x = 4

d)

y = 3

2.

a)

Vertex is (-2, -3) and the axis of symmetry is x = -2.

b)

Vertex is (-2, -3) and the axis of symmetry is y = -2.

c)

Vertex is (-3, -2) and the axis of symmetry is y = -2.

d)

Vertex is (-3, -2) and the axis of symmetry is x = -2.

3.

What are the roots of the function?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

4.

What are the coordinates of the y-intercept?

a)

(-3, 0)

b)

(0, -3)

c)

(2, 1)

d)

y=-3

5.

What is the green dot on the parabola called?

a)

vertex

b)

x-intercept

c)

roots

d)

y-intercept

6.

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

7.

The axis of symmetry line passes through which point?

a)

y-intercept

b)

any random point

c)

vertex

d)

symmetrical point for the vertex

8.

What is the green dashed line called?

a)

roots or x-intercepts

b)

parabola

c)

axis of symmetry

d)

y intercept

9.

Which best describes the vertex of a parabola?

a)

Any point on the parabola.

b)

A point on the x-axis.

c)

The highest or lowest point of a parabola

d)

A point on the y-axis.

10.

What is the opening of the given quadratic function?

(a)

11.

$f\left(x\right)=x^2+5x-6$

Determine the value of f(x) if x = 1.

(a)

12.

What is the domain of the function?

a)

{x ≥ 3}

b)

{x ≤ 3}

c)

All real numbers

d)

{-1 ≤ x ≤ 5}

13.

What is the range of the function?

a)

$\left\{y\ \le\ 3\right\}$

b)

$\left\{-3\le y\right\}$

c)

All real numbers

d)

{-6 ≤ y ≤ 3}

14.

Identify the domain and range of the function.

a)

D: {-6 ≤ x ≤ 2}

R: {-3 ≤ y ≤ 5}

b)

D: All real number

R: {-3 ≤ y ≤ 5}

c)

D: All real numbers

R: {y ≤ 3}

d)

D: All real numbers

R: {3 ≤ y}

15.

Given f(x) = x² - 1, what is the value of f(10)?

a)

100

b)

19

c)

99

d)

9

16.

f(x) is the same thing as ______.

a)

y

b)

x

c)

input

d)

Fred X

17.

If a question asks you to find f(2), what does that mean?

a)

Let x = 2

b)

Let y = 2

18.

What is the green dot on the parabola called?

a)

maximum

b)

minumum

c)

roots

d)

zeros

19.

Does this graph have a maximum or minimum?

a)

Minimum

b)

Maximum

20.

What is the green dashed line called?

a)

roots or x-intercepts

b)

parabola

c)

axis of symmetry

d)

line of dashes

21.

What is the axis of symmetry for this graph?

a)

y=2

b)

x=2

c)

x=0

d)

y=0

22.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

23.

The line that goes through the vertex of a parabola is called the...

a)

Vertex

b)

Axis of Symmetry

c)

x-intercept

d)

y-intercept

24.

The vertex of this quadratic is...

a)

(1,16)

b)

(-3,0)

c)

(5,0)

d)

(0,15)

25.

Which letter determines if a parabola opens up or down?

a)

a

b)

h

c)

k

26.

Which of the following equations matches standard form of a quadratic?

a)

ax + by = c

b)

y = a(x - h)² + k

c)

y = ax² + bx + c

d)

y = mx + b

27.

What is the vertex?

a)

(4,-4)

b)

(2,0)

c)

(0,2)

d)

(6,0)

28.

The equation for the axis of symmetry line is x = -b/(2a)

a)

true

b)

false

29.

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

a)

x=1

b)

x=-6

c)

x=2

d)

x=-1

30.

Does the equation open or or down?
Y = -3x² +7x - 2

a)

up

b)

down

31.

Does the equation have a max or min?
y = 2x² + 7x + 5

a)

max

b)

min

32.

What is the axis of symmetry?

a)

the slope of the graph

b)

the dividing line for a parabola

c)

a way to spin my pencil

d)

the x-axis

33.

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

a)

x=1

b)

x=-6

c)

x=2

d)

x=-1

34.

The equation for the axis of symmetry line is

x=\frac{-b}{2a}

a)

true

b)

false

35.

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

a)

parabola

b)

vertex

c)

graph

d)

point

36.

Identify the y-intercept

a)

(0, -3)

b)

(0, 1)

c)

(0, 3)

d)

(2, 1)

37.

.How many zeros does this parabola have?

a)

3

b)

2

c)

0

d)

1

38.

What is another name for the x-intercepts of a quadratic?

a)

y-intercept

b)

Zeros

c)

x-axis

d)

They don't have another name

39.

What is the domain of the graph?

a)

All real numbers

b)

To infinity and beyond

c)

y ≥ 0

d)

x ≥ 0

40.

What is the range of the graph?

a)

All real numbers

b)

To infinity and beyond

c)

y ≥ 0

d)

x ≥ 0

41.

What is the domain of the graph?

a)

All real numbers

b)

To infinity and beyond

c)

y ≥ -1

d)

x ≥ 0

42.

What is the range of the graph?

a)

All real numbers

b)

To infinity and beyond

c)

y ≥ -1

d)

x ≥ 0

43.

What is the domain and the range for the graph?

a)

Domain : -2 ≤ x ≤ 2
Range : 0 ≤ y ≤ 4

b)

Domain : 0 ≤ x ≤ 4
Range : -2 ≤ y ≤ 2

c)

Domain : All real #s
Range : y ≤ 4

d)

Domain : -2 ≤ x ≤ 2
Range : y ≤ 4

44.

What is the domain of the parabola created by the ball?

a)

Domain : 0 ≤ d ≤ 280

b)

Domain : 0 ≤ h ≤ 150

c)

Domain : 0 ≤ d ≤ 570

d)

Domain : 0 ≤ h ≤ 280

45.

What is the range of the graph?

a)

All real numbers

b)

0 ≤ x ≤ 4

c)

0 ≤ x ≤ 2000

d)

0 ≤ y ≤ 2000

46.

What is the significance of the ordered pair (2, -4) to the graph?

a)

It is the vertex

b)

It is an x-intercept

c)

It is the y-intercept

d)

It is the axis of symmetry

47.

Determine the domain and range of the function

a)

Domain: All real numbers, Range: All real numbers

b)

Domain: x ≥ -4, Range: All real numbers

c)

Domain: All real numbers, Range: y ≥ -4

d)

Domain: -1 ≤ x ≤ 5, Range: y ≥ -4

48.

What is the significance of the ordered pair (0, -2) to the graph?

a)

It is the vertex

b)

It is an x-intercept

c)

It is the y-intercept

d)

It is the axis of symmetry

49.

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

a)

parabola

b)

vertex

c)

graph

d)

point

50.

Does this parabola have a maximum or minimum?

a)

Maximum

b)

Minimum

51.

Does this graph open up or down?

y=\ -3x^2\ +7x\ +\ 1,000,000

a)

up

b)

down

52.

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

a)

x = -4

b)

x = 4

c)

y = 4

d)

y = -4

53.

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

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

54.

In the function

y\ =\ 7x^2\ +8x\ -\ 10

,
the vertex is a ......

a)

minimum

b)

maximum

55.

What is the vertex of the quadratic below:

y=3x^2-6x+8

Leave NO spaces in your answer and include parentheses.

(a)

56.

What is the vertex of the function

y\ =\ -4\left(x\ +7\right)^2\ -\ 8

?

(a)

57.

Where is the axis of symmetry for this parabola?

a)

x = −1

b)

x = 0

c)

y = 3

d)

x = −3

58.

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

a)

x=1

b)

x=-6

c)

x=2

d)

x=-1

59.

Find the Vertex: y= -5x²-20x - 26

a)

(-2, -6)

b)

(2, 6)

c)

(6,2)

d)

(3, 6)

60.

The vertex of parabola y = - 2x² - 4x + 1 is

a)

(1, 3)

b)

(- 1, 3)

c)

(- 1, -5)

d)

(- 1, 5)

61.

The parabola y = x² - 2x + 4

a)

will have a minimum vertex.

b)

will have a maximum vertex.

62.

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

63.

Select the equation that would graph the parabola.

a)

y = x² + 10x + 21

b)

y = x² - 10x + 21

c)

y = -x² - 10x + 21

64.

What are the x-intercepts of the quadratic?

a)

(2, 0) and (4, 0)

b)

(-2, 0) and (-5, 0)

c)

(2, 0) and (5, 0)

d)

(-2, 0) and (-4, 0)

65.

Which equation matches the x-intercepts x=5,-7 ?

a)

(x+5)(x-7)=0

b)

(x-5)(x+7)=0

c)

(x+5)(x+7)=0

d)

(x-5)(x-7)=0

66.

What are the x-intercepts:

(x - 5)(x - 1) = 0

a)

{ 5, 1 }

b)

{ 5, -1 }

c)

{ -5, 1 }

d)

{ -5, -1 }

67.

What are the x-intercepts:

(x - 3)(x + 6) = 0

a)

{ -3, -6 }

b)

{ 3, -6 }

c)

{ -3, -6 }

d)

{ 3, 6 }

68.

What is another word for zeros?

a)

y-intercepts

b)

roots

c)

vertex

d)

axis of symmetry

69.

What is the axis of symmetry for this parabola?

a)

x = 2

b)

x = - 8

c)

x = -1

d)

y = -1

70.

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)

71.

Which direction does the following equation open? $y=-3\left(x+3\right)\left(x-2\right)$

a)

Down, because the 'a' value is positive.

b)

Up, because the 'a' value is negative.

c)

Down, because the 'a' value is negative.

d)

Up, because the 'a' value is positive.

72.

What are the x intercepts of: $y=\left(3x-5\right)\left(x+2\right)$

a)

(5,0) and (-2,0)

b)

(-5,0) and (2,0)

c)

(5/3, 0) and (-2,0)

d)

(3,0) and (-2,0)

73.

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

74.

What is the vertex of the function?

a)

(-3, -16)

b)

(3, 20)

c)

(-6, -7)

d)

(0, -7)

75.

If 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)

76.

The axis of symmetry line passes through which point?

a)

y-intercept

b)

any random point

c)

vertex

d)

symmetrical point for the vertex

77.

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

78.

What is the green dashed line called?

a)

roots or x-intercepts

b)

parabola

c)

axis of symmetry

d)

line of dashes

79.

Which equation has a vertex of (-3, 4)?

a)

y = 2(x+3)²+ 4

b)

y = (x+3)² - 4

c)

y = (x-3)² + 4

d)

y = 2(x - 3)² + 4

80.

The graph of a quadratic function is called a

a)

Parabola

b)

Vertex

c)

Axis of Symmetry

d)

Vertex Form

81.

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

82.

What is the vertex for
f(x)=4(x-2)² + 3

a)

(-2, 3)

b)

(2,-3)

c)

(4,3)

d)

(2,3)

83.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

84.

What is the vertex?

a)

(-1,-2)

b)

(-2,-1)

c)

(-3,-1)

d)

(2,1)

85.

Which of the following equations matches vertex form of a quadratic?

a)

ax + by = c

b)

y = a(x - h)² + k

c)

y = ax² + bx + c

d)

y = mx + b

86.

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)

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

87.

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)

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

88.

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)

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

89.

Which of the following equations matches standard form of a quadratic?

a)

ax + by = c

b)

y = a(x - h)² + k

c)

y = ax² + bx + c

d)

y = mx + b

90.

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

91.

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

92.

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

93.

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

94.

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

95.

$\left(2x-1\right)\left(3x+4\right)$

Find the equivalent expression.

a)

$6x^2-5x-4$

b)

$6x^2+5x-4$

c)

$6x+11x+4$

d)

$6x+5x-4$

e)

$6x^2-11x-4$

96.

Change the quadratic equation from factored form to standard form:

(x + 3)(x - 2)

a)

x² + 6x + 5

b)

x² -5x + 6

c)

6x²+ 6

d)

x² + x - 6

97.

Change the quadratic equation from factored form to standard form:

(x + 6)(x +5)

a)

x² + 6x + 5

b)

x² +11x + 30

c)

x²+ 30x+11

d)

x² + x - 6

98.

Change the quadratic equation from factored form to standard form:

(x - 2) (x+ 3)

a)

x² + 1x - 6

b)

x² +1x + 6

c)

x²- 1x - 6

d)

x² + 2x - 6

99.

Change the quadratic equation from factored form to standard form:

(x - 3) ( x + 3)

a)

x² + 9

b)

x² +1x + 6

c)

x²- 9

d)

x² + 2x - 6

100.

Change the quadratic equation from factored form to standard form:

(2x + 4) (2x + 9)

a)

$4x^2+36x+36$

b)

$4x^2+18x+36$

c)

$x^2+36x+36$

d)

$4x^2+18x+13$

101.

Change the quadratic equation from factored form to standard form:

(3m + 5) (2m - 3)

a)

$5m^2+19\ -\ 15$

b)

$6m^2+10m\ +15$

c)

$6m^2+1m-15$

d)

$5m^2+19m\ -\ 15$

102.

Change the quadratic equation from factored form to standard form:

(4p+5) (6p+8)

a)

$24p^2+60p+40$

b)

$24p^2+62p+40$

c)

$6p^2+62p+13$

d)

$5m^2+19m\ -\ 15$

103.

Change the quadratic equation from factored form to standard form:

(6a+1) (6a-1)

a)

$12a+1$

b)

$12a^2-1$

c)

$36a^2-1$

d)

$12a^2+12a-2$

104.

Change the quadratic equation from factored form to standard form:

(4c - 2) (2c - 5)

a)

$8c^2+24c+10$

b)

$8c^2+10$

c)

$8c^2-24c+10$

d)

$8c-24c+10$

105.

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)

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

106.

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)

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

107.

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)

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

108.

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

109.

Convert to standard form:

f(x) = x²+3x-18

a)

(x-6)(x+3)

b)

(x+6)(x+3)

c)

(x+6)(x-3)

d)

(x-6)(x-3)

110.

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

111.

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)

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

112.

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)

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

113.

Convert to vertex form: $y=x^2-12x+30$

a)

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

b)

$y=\left(x+6\right)^2-36$

c)

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

d)

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

114.

Convert to Factored Form

x² + 5x - 24

a)

(x - 8)(x + 3)

b)

(x + 8)(x - 3)

c)

(x + 6)(x - 4)

d)

(x + 12)(x - 2)

115.

Convert to Factored Form:

x² - 10x + 24

a)

(x - 6)(x - 4)

b)

(x + 6)(x + 4)

c)

(x - 12)(x + 2)

d)

(x - 8)(x - 3)

116.

Convert to Factored Form:

3a² + 4a + 1

a)

(7a-10)(a-8)

b)

Not factorable

c)

(3a+1)(a+1)

d)

(3a-1)(a-1)

117.

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)

118.

Convert to Factored Form:

(hint: use slide n' divide)

4x²-16x-9

a)

(2x-9)(2x+1)

b)

(2x+9)(2x-1)

c)

(4x-1)(x+9)

d)

(x+1)(4x-9)

119.

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

a)

(5, -7)

b)

(-2, -7)

c)

(2, -7)

d)

(-7, -2)

120.

Convert to Vertex Form

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

121.

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

a)

(6 , 0)

b)

(-6 , 0)

c)

(0, -6)

d)

(0 , 6)

122.

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)

123.

What is the vertex form of this quadratic?

a)

f(x) = -(x + 2)²- 4

b)

f(x) = (x - 2)²+ 4

c)

f(x) = (x - 2)²- 4

d)

f(x) = -(x - 2)² - 4

124.

Write the function in vertex form. $f\left(x\right)=x^2-10x+13$

a)

$f\left(x\right)=\left(x-10\right)^2-87$

b)

$f\left(x\right)=\left(x-5\right)^2-12$

c)

$f\left(y\right)=\left(x-5\right)^2-12$

d)

$f\left(x\right)=x^2-10x-12$

125.

Write the function in vertex form.
$f\left(x\right)=3x^2-15x+3$

a)

$f\left(x\right)=3\left(x-\frac{63}{4}\right)^2-\frac{5}{2}$

b)

$f\left(x\right)=3\left(x-\frac{5}{2}\right)^2-\frac{75}{4}$

c)

$f\left(x\right)=3\left(x+\frac{5}{2}\right)^2-\frac{63}{4}$

d)

$f\left(x\right)=3\left(x-\frac{5}{2}\right)^2-\frac{63}{4}$

126.

Write the function in vertex form.
$f\left(x\right)=\frac{1}{2}x^2+9x-3$

a)

$f\left(x\right)=\frac{1}{2}\left(x+\frac{9}{4}\right)^2-\frac{195}{16}$

b)

$f\left(x\right)=\frac{1}{2}\left(x+9\right)^2-\frac{87}{2}$

c)

$f\left(x\right)=\left(x+\frac{9}{2}\right)^2-\frac{93}{4}$

d)

$f\left(x\right)=\left(x+\frac{9}{4}\right)^2-\frac{195}{16}$

127.

What do you need to add to create a perfect square trinomial?
$f\left(x\right)=x^2-10x+?$

a)

5

b)

10

c)

25

d)

100

128.

What would you add to the quadratic to make it a perfect square?
$f\left(x\right)=x^2+11x+?$

a)

$121$

b)

$\frac{121}{4}$

c)

$\frac{11}{2}$

d)

$-\frac{121}{4}$

129.

What is the vertex for
f(x)=4(x-2)² + 3

a)

(-2, 3)

b)

(2,-3)

c)

(4,3)

d)

(2,3)

130.

Which of the following equations matches vertex form of a quadratic?

a)

ax + by = c

b)

y = a(x - h)² + k

c)

y = ax² + bx + c

d)

y = mx + b

131.

If 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)

132.

What is the axis of symmetry for the following quadratic function: f(x)=1/2(x-4)²+3

a)

x=4

b)

x=-4

c)

x=1/2

d)

x=3

133.

What is the vertex of the parabola: y=2(x-3)²+4

a)

(3,4)

b)

(-3,4)

c)

(3, -4)

d)

(-3,-4)

134.

$y=3x^2+6x-5$

Convert to vertex form.

a)

$y=3(x+1)^2-8$

b)

$y=3(x-1)^2-8$

c)

$y=3(x+2)^2-8$

d)

$y=3(x-2)^2-8$

135.

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

136.

Convert to Intercept Form. $y=x^2+14x+48$

a)

y = (x+8)(x+6)

b)

y = (x+8)(x-6)

c)

y = (x-6)(x-8)

d)

y = (x-8)(x+6)

137.

$y=2\left(x+3\right)^2+5$

Convert to Standard Form.

a)

$y=2x^2+12x+23$

b)

$y=2x^2+6x+23$

c)

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

d)

$y=x^2+6x+13$

138.

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)

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

139.

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)

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

140.

Which of the following is Intercept Form?

a)

$y=ax^2+bx+c$

b)

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

c)

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

141.

Convert

$y=3x^2-15x-42$ to Intercept Form. (Try a GCF First!)

a)

y = (3x - 21)(x + 2)

b)

y = 3(x - 7)(x + 2)

c)

y = (3x - 15)(x - 42)

d)

y = 3(x + 7)(x - 2)

142.

Convert

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

to Standard Form.

a)

$y=x^2+6x-27$

b)

$y=-2x^2+12x-54$

c)

$y=-2x^2-12x+54$

d)

$y=-2\left(x+3\right)^2+72$

143.

Convert to Intercept form:

f(x) = x²+3x-18

a)

(x-6)(x+3)

b)

(x+6)(x+3)

c)

(x+6)(x-3)

d)

(x-6)(x-3)

144.

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

145.

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)

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

146.

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)

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

147.

Convert to Factored/Intercept Form

x² + 5x - 24

a)

(x - 8)(x + 3)

b)

(x + 8)(x - 3)

c)

(x + 6)(x - 4)

d)

(x + 12)(x - 2)

148.

Convert to Factored Form:

3x² + 4x + 1

a)

(7x-10)(x-8)

b)

Not factorable

c)

(3x+1)(x+1)

d)

(3x-1)(x-1)

149.

Convert to Intercept/Factored Form

(Try a GCF First!)

2x² + 2x - 84

a)

(x-6)(2x+14)

b)

(x+7)(2x-12)

c)

(x-4)(2x+21)

d)

2(x+7)(x-6)

150.

The height of a water balloon that is launched into the air is given by h(t) = -5t² + 40t + 2. From what height was the balloon released?

a)

2 meters

b)

5 meters

c)

40 meters

d)

20 meters

151.

If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet per second, then its height h after t seconds is given by the equation

h(t) = -16t² +128t

When will the object reach its maximum height?

a)

4 ft

b)

0 seconds

c)

0 ft

d)

4 seconds

152.

A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
h = -16t² + 64t + 960.
How many seconds did it take for the ball to reach its maximum height?

a)

10 seconds

b)

64 seconds

c)

960 seconds

d)

2 seconds

153.

A dolphin jumps from the water at at initial velocity of 16 feet per second. The equation h = -8t² + 16t models the dolphin's height at any given time, t. What is the maximum height the dolphin jumps?

a)

1 foot

b)

5 feet

c)

7 feet

d)

8 feet

e)

12 feet

154.

A frog is sitting on the ground when he is scared by a big dog. His movement is modeled by the equation h = -6t²+ 6t where h is the frog's height at any given time, t . How many seconds until the frog is back on the ground?

a)

0.5 seconds

b)

1 second

c)

1.5 seconds

d)

2 seconds

e)

3 seconds

155.

Your nephew is standing on his deck, which is 4 feet off the ground. He tosses his toy up into the air. The equation

h = -2t²+ 7t + 4 models the toy's height, h, from the ground at t seconds after he threw it. How high is the toy after 1 second?

a)

2

b)

4

c)

9

d)

10

e)

15

156.

Fireworks are fired from the roof of a 100-foot building. The equation h = -16t² +84t + 100 models the height, h, of the fireworks at any given time, t. How high do the fireworks get?

a)

2.625

b)

6.25

c)

100

d)

200

e)

210.25

157.

Your friend passes you the ball during a soccer game. The height off the ground is modeled by the equation

h = -4t² + 12t. How high did the soccer ball get?

a)

1.5

b)

3

c)

5

d)

9

e)

15

158.

A ball is thrown into the air from the edge of a 48-foot-high cliff so that it eventually lands on the ground. The graph below shows the height, y, of the ball from the ground after x seconds.

For which interval is the ball's height always decreasing?

a)

$0\le x\le2.5$

b)

$0<x<5.5$

c)

$2.5<x<5.5$

d)

$x\ge2$

159.

The height of a ball Doreen tossed into the air can be modeled by the function h(x) = −4.9x² + 6x + 5, where x is the time elapsed in seconds, and h(x) is the height in meters. The number 5 in the function represents

a)

the initial height of the ball

b)

the time at which the ball reaches the ground

c)

the time at which the ball was at its highest point

d)

the maximum height the ball attained when thrown in the air

160.

A ball is thrown straight up at an initial velocity of 54 feet per second. The height of the ball t seconds after it is thrown is given by the formula h(t) = 54t − 12t² .

How many seconds after the ball is thrown will it return to the ground?

a)

9.2

b)

6

c)

4.5

d)

4

161.

The height of a water balloon that is launched into the air is given by h(t) = -5(t +1)(t - 5). When will the balloon explode on the ground?

a)

5 seconds

b)

1 second

c)

2 seconds

d)

3 seconds

162.

The height of a water balloon that is launched into the air is given by h(t) = -5(t +1)(t - 5). When will the balloon reach its maximum height?

a)

2 seconds

b)

1 second

c)

5 seconds

d)

3 seconds

163.

The height of a water balloon that is launched into the air is given by h(t) = -5(t - 4)² + 82. When will the balloon reach its maximum height?

a)

4 seconds

b)

82 seconds

c)

5 seconds

d)

16 seconds

164.

The height of a water balloon that is launched into the air is given by h(t) = -5(t - 4)² + 82. What is the maximum height of the balloon?

a)

82 meters

b)

4 meters

c)

55 meters

d)

99 meters

165.

The height of a water balloon that is launched into the air is given by h(t) = -5t² + 40t + 2. From what height was the balloon released?

a)

2 meters

b)

5 meters

c)

40 meters

d)

20 meters

Quadratic Functions

Total questions: 165

Worksheet time: 6hrs 10mins

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