Free Printable Review 3 - 2nd Sem Finals

1.

The graph of a quadratic function f is shown on the grid. Which of the following best describes the domain of f?

a)

All real numbers less than 6 and greater than 1.

b)

10 ≤ y ≤ 7.5

c)

y ≥ -6.256

d)

All real numbers

2.

What is the domain of the function?

y=-3x²-12x+15

a)

-5<x<1

b)

-1<x<5

c)

All real numbers

d)

-2<x<27

3.

Which graph represents a function with a domain of all real numbers greater than or equal to -7 but less than 2?

a)

b)

c)

d)

4.

What is the domain and range of the given parabola:

y=6(x-4)²-1?

a)

Domain: all real numbers

Range: y≥-1

b)

Domain: x≥-1

Range: all real numbers

c)

Domain: all real numbers

Range: y ≤-1

d)

Domain: x≤-1

Range: all real numbers

5.

Range greater than or equal to 6?

a)

b)

c)

d)

6.

What is the range of this parabola?

a)

All real #'s

b)

y > -1

c)

y < -1

d)

x > -4

7.

Which graph best represents a function with a range of all real numbers greater than or equal to -6?

a)

b)

c)

d)

8.

What is the domain show in this graphic?

a)

b)

c)

d)

9.

The table shows some ordered pairs that belong to quadratic function h.

What is the range of h?

a)

All real numbers

b)

All real numbers greater than or equal to -7

c)

All real numbers greater than or equal to -8

d)

All real numbers greater than or equal to 0

10.

What is the range of y = x² +16x + 64

a)

x ≥ 0

b)

x ≤ -7

c)

y ≥ 0

d)

y ≤ -7

11.

A flare is launched from a boat. The height, h, in meters, of the flare above the water is modeled by the function h(t) = -15t² + 150t , where t is the number of seconds after the flare is launched. If the flare takes ten seconds after being launched to land in the water, what is a reasonable domain for the function?

a)

0 ≤ h ≤ 375

b)

t ≥ 0

c)

0 ≤ t ≤ 10

d)

h ≥ 0

12.

Phoenix popped up the baseball with an initial upwards velocity of 48 ft/s. The height, h, in feet, of the ball above the ground is modeled by the function h(t) = -16t² + 48t + 3. The ball lands on the ground after 3 seconds. Which of the following is a reasonable domain for the function?

a)

0 ≤ h ≤ 48

b)

t ≥ 0

c)

0 ≤ t ≤ 3

d)

h ≥ 0

13.

The table shows some ordered pairs that belong to quadratic function h. What is the range of h?

a)

All real numbers.

b)

All real numbers greater than or equal to -43.

c)

All real numbers greater than or equal to 0.

d)

All real numbers less than or equal to 7.

14.

Which graph represents a function with a range of all real numbers greater than or equal to -2?

a)

b)

c)

d)

15.

Which graph has a range that is greater than or equal to -6?

a)

b)

c)

d)

16.

What is the domain of

f\left(x\right)=9-x^2

?

a)

$f\left(x\right)\ge9$

b)

$All\ real\ numbers$

c)

$-3\le x\le3$

d)

$x\le9$

17.

What is the range of the graph above?

a)

All real numbers greater than or equal to -1.

b)

All real numbers less than or equal to 0.

c)

All real numbers less than or equal to -1.

d)

All real numbers.

18.

The table shows some ordered pairs that belong to the quadratic function h. What is the range of h?

a)

All real numbers

b)

All real numbers less than or equal to 48

c)

All real numbers less than or equal to 5

d)

All real numbers less than or equal to 0

19.

Which graph represents a function with a domain or all real numbers greater than or equal to -7 and less than 2?

a)

b)

c)

d)

20.

Q5

a)

A

b)

B

c)

C

d)

D

21.

Describe the transformation

a)

up 3

b)

down 3

c)

left 3

d)

right 3

22.

Name the parent function.

a)

quadratic

b)

cubic

c)

square root

d)

logarithmic

23.

Which function DOES NOT represent a horizontal shift of the function f(x)=x²

a)

g(x)= x²+3

b)

g(x)= (x+3)²

c)

g(x)= (x-3)²

d)

g(x) =(x-2)²

24.

The graph of $y=x^2$ is shown in bold and labeled. Which of the following could be the equation of the graph shown as a dashed line?

a)

$y=2x^2$

b)

$y=-\frac{1}{2}x^2$

c)

$y=\frac{1}{3}x^2$

d)

$y=-4x^2$

25.

Which equation shows a function that is translated left 4 and 7 up?

a)

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

b)

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

c)

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

d)

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

26.

Which one has the narrowest graph?

a)

f(x) = 3x²

b)

g(x) = -2x²

c)

h(x) = 0.5x²

d)

a(x) = 12x²

27.

Which equation below is a quadratic function translated up 5 units?

a)

y = x² + 5

b)

y = (x + 5)²

c)

y = 5x²

d)

y = -x² - 5

28.

The graph shows the function f(x)=x² in blue and another function g(x) in red. Which could be the equation for g(x)?

a)

A. g(x)=3x²

b)

B. g(x)=1/3x²

c)

C. g(x) = x² - 3

d)

D. g(x) = (x-3)²

29.

The graph shows the function f(x)=x² in blue and another function g(x) in red. Which could be the equation for g(x)?

a)

A. g(x) = 2x²

b)

B. g(x) = 1/2x²

c)

C. g(x) = x² + 2

d)

D. g(x) = (x + 2)²

30.

If f(x) is the red graph and g(x) is the blue graph, what transformation changes f(x) to g(x)?

a)

translation

b)

rotation

c)

reflection

d)

vertical stretch

31.

Which function DOES NOT represent a horizontal shift of the function f(x)=x²

a)

g(x)= x²+3

b)

g(x)= (x+3)²

c)

g(x)= (x-3)²

d)

g(x) =(x-2)²

32.

What is the horizontal and vertical shift of this equation? y = -(x -4)² + 9

a)

left 9 units and up 4 units

b)

left 4 units and down 9 units

c)

right 9 units and up 4 units

d)

right 4 units and up 9 units

33.

How was f(x) = x² transformedto g(x) = -3x²?

a)

reflection in x-axis and vertical shift down

b)

reflection x-axis and vertical stretch

c)

horizontal stretch

d)

reflection x-axis and vertical compression

34.

Identify the transformation from the graph of f(x)=x²to the graph g(x)= -(x+5)²

a)

shifted up five units
reflection in x-axis

b)

shifted down five units
reflection in x-axis

c)

shifted left 5 units
reflection x-axis

d)

shifted right 5 units
reflection x-axis

35.

What changes happened to the function g(x) = -1/5(x - 1)² + 7?

a)

reflection, vertical compression, horizontal right, vertical up

b)

vertical compression, horizontal shift left, vertical shift up

c)

reflection, horizontal shift right, vertical shift down

d)

no changes were made to y = x²

36.

Match the description to its equation.
Stretches by a factor of 3

a)

A

b)

B

c)

C

d)

D

37.

Which of the following describes the transformations done to the quadratic parent function of f(x) = x² to obtain g(x) = 2x² + 4 ?

a)

Vertical Stretch by a factor of 2 and vertical shift up 4 units

b)

Vertical Compress by a factor 2 and vertical shift up 4

c)

Vertical Stretch by a factor of 2 and horizontal shift left 4 units

d)

Vertical Compress by a factor of 2 and horizontal shift right 4 units

38.

What is the equation of the quadratic function obtained from vertically compressing the parent function by 3/5 and then shifted up 8 units?

a)

f(x)= 3/5(x-8)²

b)

f(x)=3/5x²+8

c)

f(x)=x²

d)

f(x)=3/5x²-8

39.

What is the equation of the quadratic function obtained from horizontally shifting the parent function 17 units left and then reflecting across the x-axis?

a)

f(x)= -x²-17

b)

f(x)= -(x-17)²

c)

f(x)= -(x+17)²

d)

f(x)= -x²+17

40.

Identify the transformation from the graph of f(x)=x²to the graph g(x)= -(x+5)²

a)

shifted up five units
reflection in x-axis

b)

shifted down five units
reflection in x-axis

c)

shifted left 5 units
reflection x-axis

d)

shifted right 5 units
reflection x-axis

41.

Compare the function y = 0.3x² to the parent function y = x²

a)

Wider

b)

Narrower

42.

Compare the function y = 5x² to the parent function y = x²

a)

Wider

b)

Narrower

43.

Describe the transformation of y = 3(x - 3)² + 3

a)

Narrow, Right, Up

b)

Narrow, Left, Down

c)

Wide, Right, Up

d)

Wide, Left, Down

44.

If red represents y = x², which equation represents black?

a)

y = 7x²

b)

y = -7x²

c)

y = -(1/7)x²

d)

y = -5x²

45.

Which equation shows a function that is translated left 4 and 7 up?

a)

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

b)

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

c)

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

d)

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

46.

Which equation below is a quadratic function translated up 5 units?

a)

y = x² + 5

b)

y = (x + 5)²

c)

y = 5x²

d)

y = -x² - 5

47.

The graph shows the function f(x)=x² in blue and another function g(x) in red. Which could be the equation for g(x)?

a)

A. g(x)=3x²

b)

B. g(x)=1/3x²

c)

C. g(x) = x² - 3

d)

D. g(x) = (x-3)²

48.

The graph shows the function f(x)=x² in blue and another function g(x) in red. Which could be the equation for g(x)?

a)

A. g(x) = 2x²

b)

B. g(x) = 1/2x²

c)

C. g(x) = x² + 2

d)

D. g(x) = (x + 2)²

49.

Name the parent function.

a)

linear

b)

quadratic

c)

cubic

d)

logarithmic

50.

Name the parent function.

a)

quadratic

b)

cubic

c)

square root

d)

logarithmic

51.

If f(x) is the red graph and g(x) is the blue graph, what transformation changes f(x) to g(x)?

a)

translation

b)

rotation

c)

reflection

d)

vertical stretch

52.

Which of the following functions reflects the graph f(x)=(x-1)²?

a)

g(x)= - (x-1)²

b)

g(x)= (x+1)²

c)

g(x)= (-x-1)²

d)

g(x)= (x-1)²-1

53.

Describe the transformation:

y = (x-2)²+5

a)

left 2 up 5

b)

right 2 up 5

c)

left 2 down 5

d)

right 2 down 5

54.

What is the vertex of this quadratic graph?

(a)

Choose from the below words

(-9, -4)

(-9, 4)

(-4, -9)

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

55.

This graph has (a) value.

Choose from the below words

minimum

maximum

56.

This graph has a (a) value.

Choose from the below words

maximum

minimum

57.

What are the solutions to this parabola?

a)

(-10, 0), (2, 0)

b)

(0, 2), (0, 10)

c)

(-4, -9)

d)

(-9, -4)

58.

What are the solutions to this quadratic graph?

(a)

Choose from the below words

(-1, 0), (3, 0)

(0, 3)

(0, 3), (0, -1)

(1, 4)

59.

What is the vertex of this quadratic graph?

(a)

Choose from the below words

(-1, 0), (3, 0)

(0, 3)

(0, 3), (0, -1)

(1, 4)

60.

What are the solutions to this parabola?

(a)

Choose from the below words

(0, -1), (0, 5)

(-1, 0), (5, 0)

maximum

minimum

61.

What are the x-intercepts of the given quadratic graph?

(a)

Choose from the below words

(2, 0), (8, 0)

(0, 8), (0, 2)

(5, 9)

maximum

62.

Identify a root

a)

(-1,9)

b)

(0,-8)

c)

(-4,0)

d)

(0,0)

63.

Identify the y-intercept

a)

(-1,9)

b)

(0,-8)

c)

(-4,0)

d)

(0,0)

64.

Identify the vertex

a)

(-1,-9)

b)

(0,-8)

c)

(-4,0)

d)

(0,0)

65.

Does this parabola have a maximum or minimum?

a)

Maximum

b)

Minimum

66.

What is the green dashed line called?

a)

roots or x-intercepts

b)

parabola

c)

axis of symmetry

d)

line of dashes

67.

What are the green dots called?

a)

axis of symmetry

b)

vertex

c)

parabola

d)

roots or x-intercepts

68.

What is the green dot on this parabola called?

a)

vertex

b)

root

c)

zero

d)

solution

69.

Which word is NOT a synonym for x-intercept?

a)

zero

b)

y-intercept

c)

solution

d)

root

70.

What's the vertex of the parabola?

a)

(-2,4)

b)

(-1,1)

c)

(0,0)

d)

(2,4)

71.

The line of symmetry for this parabola is...

a)

x = 0

b)

y = 0

c)

x = 1

d)

y = 1

72.

(0,1) on this parabola is the...

a)

vertex and x-intercept

b)

vertex and y-intercept

c)

axis of symmetry

d)

x and y-intercepts

73.

(-2,0) is the...

a)

vertex and y-intercept

b)

middle point

c)

vertex and x-intercept

d)

line of symmetry

74.

Name the y-intercept.

a)

(-4,4)

b)

(0,4)

c)

(-2,0)

d)

(0,0)

75.

What is another word for zeros?

a)

y-intercepts

b)

roots

c)

vertex

d)

axis of symmetry

76.

What are the x-intercepts?

a)

0 and 2

b)

-4 and 0

c)

2 and 3

d)

0 and 4

77.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

78.

Which graph is a parabola?

a)

b)

c)

d)

79.

Does this graph have a maximum or minimum?

a)

Minimum

b)

Maximum

80.

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

81.

Find the graph of the equation:

y = x² + 2x

a)

b)

c)

d)

82.

Find the graph of the equation:

y = (x + 2)² - 1

a)

b)

c)

d)

83.

What is the vertex of this quadratic equation?

y = 2(x + 2)² + 4

a)

(-2,4)

b)

(2,4)

c)

(4,-2)

d)

(-4,-2)

84.

What is the vertex of this parabola?

a)

(−1, 3)

b)

(−3, 11)

c)

(−2, 5)

d)

(0, 5)

85.

What is the y-intercept of this parabola?

a)

(−1, 3)

b)

(−3, 11)

c)

(−2, 5)

d)

(0, 5)

86.

Where is the axis of symmetry for this parabola?

a)

x = −1

b)

x = 0

c)

y = 3

d)

x = −3

87.

What do we call the graph of a quadratic function?

a)

parabola

b)

linear

c)

cubic

d)

sinusoidal

88.

What is the vertex?

a)

(0, - 1)

b)

(0, 0.5)

c)

(-1, 0)

d)

(0.5, 0)

89.

Does the quadratic have a max/min vertex, and does the parabola open up/down?

a)

max/ opens down

b)

min/ opens up

c)

max/ opens up

d)

min/ opens down

90.

The axis of symmetry is a line that goes through the...

a)

y-intercept

b)

any random point

c)

vertex

d)

x-axis or y-axis

91.

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.

92.

A negative "a" value causes the parabola to open (a) .

Choose from the below words

down

up

93.

What is the vertex of this quadratic equation?
y = 2(x - 2)² + 5

a)

(-2,5)

b)

(2,5)

c)

(5,-2)

d)

(-5,-2)

94.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

95.

What is the axis of symmetry for this graph?

a)

y=2

b)

x=2

c)

x=0

d)

y=0

96.

What is a Parabola?

a)

The graph of a quadratic function

b)

The graph of a linear function

c)

The graph of an absolute value function

d)

A boat

97.

What's the vertex of the parabola?

a)

(-2,4)

b)

(-1,1)

c)

(0,0)

d)

(2,4)

98.

Name the y-intercept.

a)

(-4,4)

b)

(0,4)

c)

(-2,0)

d)

(0,0)

99.

Identify the y-intercept

a)

(-1,9)

b)

(0,-8)

c)

(-4,0)

d)

(0,0)

100.

This parabola has 2 roots (x-intercepts), what is one of them?

a)

(-1,9)

b)

(0,-8)

c)

(-4,0)

d)

(0,0)

101.

What is the name of the point where the parabola crosses the y-axis?

a)

Zero

b)

Solution

c)

y-intercept

d)

x-intercept

102.

What are the x-intercepts of this parabola?

a)

(1, 0) and (5, 0)

b)

(-5, 0)

c)

(3, 0) and (4, 0)

d)

(0, 0) and (5, 0)

103.

What is the vertex?

a)

(5, 0)

b)

(3, 4)

c)

(1, 0)

d)

(0, 0)

104.

What is the vertex of the graph?

a)

(2, 4)

b)

(3, -1)

c)

(0, 8)

d)

(4, 2)

105.

Graph a parabola whose maximum is at $y=8$ , has an axis of symmetry at $x=-3$ , and a zero at $x=2$ .

106.

Draw the parabola's axis of symmetry.

107.

Mark the solutions to the quadratic function.

Choose all answers that apply.

A

B

C

D

E

108.

Graph a parabola whose vertex is at $\left(4,\ 6\right)$ with a $y-intercept$ at $\left(0,\ 2\right)$ .

109.

a)axis of symmetry

b)vertex (minimum)

c)lesser solution

d)y-intercept

e)vertex (maximum)

f)greater solution

1

2

3

4

1)

2)

3)

4)

110.

Mark the $y-intercept$ of the parabola.

111.

Mark the $vertex$ of the parabola.

112.

Mark the $zeros$ of the parabola.

Choose all answers that apply.

113.

Draw the parabola's axis of symmetry.

114.

Graph a parabola whose maximum is at $y=5$ and whose $x-intercepts$ are at $x=-10$ and $x=-2$ .

115.

Graph a parabola whose vertex is at $\left(4,\ -5\right)$ and has a $y-intercept$ at $\left(0,\ -3\right)$ .

116.

A parabola has zero at $x=-2$

and at $x=8$ .

What is the $x-coordinate$ for parabola's vertex?

117.

A parabola has zero at $x=2$

and at $x=8$ .

What is the $x-coordinate$ for parabola's vertex?

118.

What is the maximum height in feet that the rocket reached?

119.

How many seconds did it take for the rocket to reach its maximum height?

120.

Graph a quadratic function that has a minimum at $\left(-6,\ -4\right)$ and a $y-intercept$ at $\left(0,\ 6\right)$

Review 3 - 2nd Sem Finals

Total questions: 120

Worksheet time: 5hrs 36mins

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