Free Printable Function & Transformation Quiz

1.

Graph the function f(x) = x^2.

a)

Graph of the function f(x) = x^2 is a circle.

b)

Graph of the function f(x) = x^2 is a hyperbola.

c)

Graph of the function f(x) = x^2 is a parabolic curve opening upwards.

d)

Graph of the function f(x) = x^2 is a straight line.

2.

Find the composite function (f o g)(x) given f(x) = 2x and g(x) = x + 3.

a)

x + 6

b)

2x + 3

c)

2x - 3

d)

2x + 6

3.

Determine the inverse function of f(x) = 3x - 5.

a)

f^(-1)(x) = 3 / (x + 5)

b)

f^(-1)(x) = 3x + 5

c)

f^(-1)(x) = (x - 5) / 3

d)

f^(-1)(x) = (x + 5) / 3

4.

Perform a reflection of the point (2, 4) over the x-axis.

a)

(2, -4)

b)

(2, 4)

c)

(4, 2)

d)

(2, -2)

5.

Translate the function y = x^3 two units to the right.

a)

y = (x+2)^3

b)

y = (x-2)^3

c)

y = x^3 + 2

d)

y = x^3 - 2

6.

Rotate the point (3, 5) 90 degrees counterclockwise about the origin.

a)

(-5, 3)

b)

(-3, -5)

c)

(3, -5)

d)

(5, -3)

7.

Graph the function f(x) = |x|.

a)

The graph of the function f(x) = |x| is a V-shaped graph with the vertex at the origin (0,0) and extending upwards and to the right.

b)

The graph of the function f(x) = |x| is a circle

c)

The graph of the function f(x) = |x| is a parabola opening downwards

d)

The graph of the function f(x) = |x| is a straight line passing through the origin

8.

Calculate the composite function (g o f)(x) given f(x) = x^2 and g(x) = 2x.

a)

4x^2

b)

4x

c)

x^4

d)

2x^2

9.

Identify the inverse function of f(x) = 4x + 7.

a)

f^{-1}(x) = (x + 7) / 4

b)

f^{-1}(x) = 4x - 7

c)

f^{-1}(x) = (x - 7) / 4

d)

f^{-1}(x) = 4 / (x - 7)

10.

Apply a reflection of the line y = 2x over the y-axis.

a)

y = -2x

b)

y = x/2

c)

y = -x/2

d)

y = 2x

11.

Translate the function y = sqrt(x) three units down.

a)

y = sqrt(x) - 3

b)

y = sqrt(x) - 2

c)

y = sqrt(x) + 3

d)

y = sqrt(x) * 3

12.

Rotate the point (1, 2) 180 degrees about the origin.

a)

(1, 2)

b)

(2, 1)

c)

(-1, -2)

d)

(0, 0)

13.

Sketch the graph of f(x) = sin(x).

a)

The graph of f(x) = sin(x) is a circle

b)

The graph of f(x) = sin(x) is a straight line

c)

The graph of f(x) = sin(x) is a parabola

d)

The graph of f(x) = sin(x) is a wave that oscillates between -1 and 1, crossing the x-axis at multiples of π.

14.

Find the composite function (f o g)(x) with f(x) = x^2 and g(x) = 3x.

a)

x^6

b)

6x^2

c)

9x^2

d)

3x^2

15.

Determine the inverse function of f(x) = (1/2)x - 3.

a)

f^-1(x) = 2(x - 3)

b)

f^-1(x) = -2(x - 3)

c)

f^-1(x) = 2(x + 3)

d)

f^-1(x) = (1/2)(x + 3)

16.

Perform a reflection of the point (-2, 3) over the y-axis.

a)

(-2, 3)

b)

(-2, -3)

c)

(2, 3)

d)

(2, -3)

17.

Translate the function y = 2x^2 four units to the left.

a)

y = 2(x - 2)^2

b)

y = 2(x + 2)^2

c)

y = 2(x - 4)^2

d)

y = 2(x + 4)^2

18.

Rotate the point (-1, 4) 270 degrees counterclockwise about the origin.

a)

(1, 4)

b)

(4, -1)

c)

(4, 1)

d)

(1, -4)

19.

Graph the function f(x) = log(x).

a)

The graph of f(x) = log(x) will be a curve starting from the point (1, 0) and increasing slowly as x increases.

b)

The graph of f(x) = log(x) will be a parabola

c)

The graph of f(x) = log(x) will be a decreasing curve

d)

The graph of f(x) = log(x) will be a straight line

20.

Calculate the composite function (g o f)(x) given f(x) = sqrt(x) and g(x) = x + 1.

a)

x + 1

b)

sqrt(x + 1)

c)

x + sqrt(1)

d)

sqrt(x) + 1

21.

What is the Vertex coordinates for the following parabola:

2(x - 3) ²+ 4

a)

(2,4)

b)

(3,4)

c)

(-3,4)

d)

(-2,4)

22.

If the a value is negative, which direction does the function open?

a)

up

b)

down

c)

left

d)

right

23.

Which of the following equations is a parabola?

a)

y = 2x + 4

b)

y = 2x³ + 4

c)

y = 2x²+ 4

d)

y = 2^x

24.

What is the vertex of this graph?

a)

x=2

b)

y=-3

c)

(2, 1)

d)

y=1

25.

Which transformation maps the graph of

f(x) = x² to the graph of g(x) = (x + 4)²?

a)

a translation shifting 4 units up

b)

a translation shifting 4 units down

c)

a translation shifting 4 units to the left

d)

a translation shifting 4 units to the right

26.

Which transformation will occur if f(x) = x² is replaced with f(x) = 2x^{2 ?}

a)

Vertical Compression by a factor of 2

b)

Vertical Stretch by a factor of 2

c)

Vertical translation up by 2 units.

d)

Reflection across the x-axis.

27.

Which transformation will occur if f(x) = x² is replaced with f(x) = 1/2x²?

a)

Vertical Compression by a factor of 1/2

b)

Vertical Stretch by a factor of 1/2

c)

Vertical translation up by 2 units.

d)

Reflection across the x-axis.

28.

Which transformation will occur if f(x) is replaced with f(x) + 2?

a)

Translation left 2 units

b)

right 2 units

c)

translation up by 2 units

d)

left 2 units

29.

Describe the transformation of y = f(x) for the new function
y = f(x) + 5

a)

The graph of y = f(x) was shifted to the right 5 units.

b)

The graph of y = f(x) was shifted to the left 5 units.

c)

The graph of y = f(x) was shifted up 5 units.

d)

The graph of y = f(x) was shifted down 5 units.

30.

Describe the transformation of y = f(x) for the new function

y = 5f(x)

a)

The graph of y = f(x) was shifted right 5

b)

The graph of y = f(x) was shifted up 5

c)

The graph of y = f(x) was compressed vertically by a factor of 5

d)

The graph of y = f(x) was stretched vertically by a factor of 5

31.

Describe the transformation of y = f(x) for the new function

y = - f(x)

a)

The graph of y = f(x) was flipped vertically.

b)

The graph of y = f(x) was shifted left.

c)

The graph of y = f(x) was shifted down.

d)

The graph of y = f(x) was shifted up

32.

Describe the transformation of y = g(x) for the function

y = 3(x - 3) + 5

a)

Shifted up 5 units

Shifted right 3 units

Stretched vertically by a factor of 3

b)

Shifted down 5 units

Shifted right 3 units

Stretched vertically by a factor of 3

c)

Shifted down 5 units

Shifted left 3 units

Stretched vertically by a factor of 3

d)

Shifted down 5 units

Shifted left 3 units

Stretched vertically by a factor of 1/3

33.

Which equation describes the transformation of shifting f(x)=x³ two units right?

a)

x³ + 2

b)

x³ - 2

c)

(x + 2)³

d)

(x - 2)³

34.

Which equation describes the transformation of shifting f(x)=x³ three units left?

a)

x³ + 3

b)

x³ - 3

c)

(x + 3)³

d)

(x - 3)³

35.

What is the equation of the graph below?

a)

f(x) = - I x + 2 I

b)

f(x) = - I x - 2 I

c)

f(x) = I x + 2 I

d)

f(x) = I x - 2 I

36.

f(x) = |x| is shown in blue and the graph of g(x) is shown in red. What is the equation for the graph of g(x)?

a)

g(x) = |x + 3| + 1

b)

g(x) = -|x + 3| -1

c)

g(x) = -|x -3| + 1

d)

g(x) = |x - 3| -1

37.

Which parent function matches the graph?

a)

f(x) = √(x)

b)

f(x) = ∛(x)

c)

f(x) = |x|

d)

f(x) = a⋅b^x

38.

What are the transformations of this functions compared to the parent function?

a)

Shifted right 5, shifted down 2, and reflected over the x-axis

b)

Reflected over the x-axis, vertical stretch, and shifted right 5

c)

Reflected over the x-axis, vertical stretch, and shifted left 5

d)

Shifted right 5, shifted down 2

39.

f(x) = |-x + 3|

a)

Reflect over y-axis
Left 3

b)

Reflect over y-axis
Right 3

c)

Reflect over x-axis
Left 3

d)

Reflect over x-axis
Right 3

40.

State the transformation of the function below.

y = (3x - 2)²+ 1

a)

Vertical Stretch by 3, right 2, up 1

b)

Horizontal Stretch by 3, right 2, up 1

c)

Vertical Compression by 3, right 2, up 1

d)

Horizontal Compression by 3, right 2, up 1

41.

What is the Vertex coordinates for the following parabola:

2(x - 3) ²+ 4

a)

(2,4)

b)

(3,4)

c)

(-3,4)

d)

(-2,4)

42.

If the a value is negative, which direction does the function open?

a)

up

b)

down

c)

left

d)

right

43.

Which of the following equations is a parabola?

a)

y = 2x + 4

b)

y = 2x³ + 4

c)

y = 2x²+ 4

d)

y = 2^x

44.

What is the vertex of this graph?

a)

x=2

b)

y=-3

c)

(2, 1)

d)

y=1

45.

Which transformation maps the graph of

f(x) = x² to the graph of g(x) = (x + 4)²?

a)

a translation shifting 4 units up

b)

a translation shifting 4 units down

c)

a translation shifting 4 units to the left

d)

a translation shifting 4 units to the right

46.

Which transformation will occur if f(x) = x² is replaced with f(x) = 2x^{2 ?}

a)

Vertical Compression by a factor of 2

b)

Vertical Stretch by a factor of 2

c)

Vertical translation up by 2 units.

d)

Reflection across the x-axis.

47.

Which transformation will occur if f(x) = x² is replaced with f(x) = 1/2x²?

a)

Vertical Compression by a factor of 1/2

b)

Vertical Stretch by a factor of 1/2

c)

Vertical translation up by 2 units.

d)

Reflection across the x-axis.

48.

Which transformation will occur if f(x) is replaced with f(x) + 2?

a)

Translation left 2 units

b)

right 2 units

c)

translation up by 2 units

d)

left 2 units

49.

Describe the transformation of y = f(x) for the new function
y = f(x) + 5

a)

The graph of y = f(x) was shifted to the right 5 units.

b)

The graph of y = f(x) was shifted to the left 5 units.

c)

The graph of y = f(x) was shifted up 5 units.

d)

The graph of y = f(x) was shifted down 5 units.

50.

Describe the transformation of y = f(x) for the new function

y = 5f(x)

a)

The graph of y = f(x) was shifted right 5

b)

The graph of y = f(x) was shifted up 5

c)

The graph of y = f(x) was compressed vertically by a factor of 5

d)

The graph of y = f(x) was stretched vertically by a factor of 5

51.

Describe the transformation of y = f(x) for the new function

y = - f(x)

a)

The graph of y = f(x) was flipped vertically.

b)

The graph of y = f(x) was shifted left.

c)

The graph of y = f(x) was shifted down.

d)

The graph of y = f(x) was shifted up

52.

Describe the transformation of y = g(x) for the function

y = 3(x - 3) + 5

a)

Shifted up 5 units

Shifted right 3 units

Stretched vertically by a factor of 3

b)

Shifted down 5 units

Shifted right 3 units

Stretched vertically by a factor of 3

c)

Shifted down 5 units

Shifted left 3 units

Stretched vertically by a factor of 3

d)

Shifted down 5 units

Shifted left 3 units

Stretched vertically by a factor of 1/3

53.

Which equation describes the transformation of shifting f(x)=x³ two units right?

a)

x³ + 2

b)

x³ - 2

c)

(x + 2)³

d)

(x - 2)³

54.

Which equation describes the transformation of shifting f(x)=x³ three units left?

a)

x³ + 3

b)

x³ - 3

c)

(x + 3)³

d)

(x - 3)³

55.

What is the equation of the graph below?

a)

f(x) = - I x + 2 I

b)

f(x) = - I x - 2 I

c)

f(x) = I x + 2 I

d)

f(x) = I x - 2 I

56.

f(x) = |x| is shown in blue and the graph of g(x) is shown in red. What is the equation for the graph of g(x)?

a)

g(x) = |x + 3| + 1

b)

g(x) = -|x + 3| -1

c)

g(x) = -|x -3| + 1

d)

g(x) = |x - 3| -1

57.

Which parent function matches the graph?

a)

f(x) = √(x)

b)

f(x) = ∛(x)

c)

f(x) = |x|

d)

f(x) = a⋅b^x

58.

What are the transformations of this functions compared to the parent function?

a)

Shifted right 5, shifted down 2, and reflected over the x-axis

b)

Reflected over the x-axis, vertical stretch, and shifted right 5

c)

Reflected over the x-axis, vertical stretch, and shifted left 5

d)

Shifted right 5, shifted down 2

59.

f(x) = |-x + 3|

a)

Reflect over y-axis
Left 3

b)

Reflect over y-axis
Right 3

c)

Reflect over x-axis
Left 3

d)

Reflect over x-axis
Right 3

60.

State the transformation of the function below.

y = (3x - 2)²+ 1

a)

Vertical Stretch by 3, right 2, up 1

b)

Horizontal Stretch by 3, right 2, up 1

c)

Vertical Compression by 3, right 2, up 1

d)

Horizontal Compression by 3, right 2, up 1

61.

Describe the transformation that occurred
3f(x)

a)

Up 3 units

b)

Narrower / Steeper

c)

Wider / Less Steep

d)

Right 3 units

62.

Describe the transformation that occurred
f(¹/₄x)

a)

Right 3 units

b)

Narrower / Steeper

c)

Wider / Less Steep

d)

Left 3 units

63.

Describe the transformation that occurred

g(x) =2f(x)

a)

Up 2 units

b)

vertical compression

c)

vertical stretch

d)

Right 2 Units

64.

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

65.

What are the transformations?
y=(x-2)³+4

a)

Horz shift right 2 Vert shift up 4

b)

Horz shift left 2 Vert shift up 4

c)

Horz shift right 2 Vert shift down 4

d)

Horz shift left 2 Vert shift up 4

66.

Write in function form: translation 3 units right

a)

g(x) = f(x − 3)

b)

g(x) = f(x) − 3

c)

g(x) = -3f(x)

d)

g(x) = f(-3x)

67.

horizontal compression

a)

g(x) = 3f(x)

b)

g(x) = ½f(x)

c)

g(x) = f(¼x)

d)

g(x) = f(5x)

68.

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

69.

Which equation represents the parent quadratic function being vertically stretched by a factor of 2, translated 5 units to the right and translated 3 units down?

a)

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

b)

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

c)

$y=\frac{1}{2}\left(x+5\right)^2-3$

d)

$y=\frac{1}{2}\left(x-5\right)^2-3$

70.

Given $h\left(x\right)=-2x^2+1$ , describe the transformations from the parent function.

a)

reflect in the x-axis, vertically stretched by a factor of 2 and translate 1 unit up

b)

reflect in the x-axis, vertically compressed by a factor of 2 and translate 1 unit up

c)

reflect in the x-axis, vertically stretched by a factor of 2 and translate 1 unit right

d)

reflect in the y-axis, vertically stretched by a factor of 2 and translate 1 unit left

71.

Find the inverse of $f(x)=3x+2$

a)

$f^{-1}(x)=3x-2$

b)

$f^{-1}(x)=2+3x$

c)

$f^{-1}(x)=\frac{x-2}{3}$

72.

Find the inverse of $f(x)=2x+1$

a)

$f^{-1}(x)=2x$

b)

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

c)

$f^{-1}(x)=2$

73.

Find the inverse of $f(x)=4x$

a)

$f^{-1}(x)=\frac{x}{4}$

b)

$f^{-1}(x)=4$

c)

$f^{-1}\left(x\right)=\frac{1}{4}$

74.

Find the inverse of $f(x)=\frac{x-5}{3}$

a)

$f^{-1}(x)=\frac{3}{5}+x$

b)

$f^{-1}(x)=3x+5$

c)

$f^{-1}(x)=5x+3$

75.

Find the inverse of $f(x)=10+7x$

a)

$f^{-1}(x)=\frac{x-7}{10}$

b)

$f^{-1}(x)=\frac{x-10}{7}$

c)

$f^{-1}(x)=\frac{1}{10+7x}$

76.

The inverse of $f(x)=x+30$ is $f^{-1}(x)=x-30$ .

a)

True

b)

False

c)

I have no idea how to do this.

77.

The inverse of $f(x)=8x+30$ is $f^{-1}(x)=\frac{8}{30}$ .

a)

True

b)

False

78.

The inverse of $f(x)=x^2-1$ is $f^{-1}(x)=(x+1)^{\frac{1}{2}}$ .

a)

True

b)

False

79.

Find the inverse of $f(x)=\frac{1}{x}$ .

a)

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

b)

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

c)

no solution

80.

The notation for an inverse is

a)

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

b)

$g^{-1}\left(x\right)$

c)

All of the above

81.

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

a)

(1, 4) and (4, 6)

b)

(-4, -1) and (-6, -4)

c)

(-1, -4) and (-4, -6)

d)

(4, 1) and (6, 4)

82.

Find the inverse of
f(x) = 1/4x - 7

a)

f^-1(x) = 4x + 7

b)

f^-1(x) = -4x + 28

c)

f^-1(x) = -4x - 7

d)

f^-1(x) = 4x + 28

83.

Which expression represents g(f(x)) if f(x) = 2x - 8
and
g(x) = 4x

a)

8x - 32

b)

8x² - 32x

c)

8x - 8

d)

6x - 8

84.

a)

9 - √17

b)

4

c)

2

d)

√8

85.

What is the inverse of this function?

a)

A

b)

B

c)

C

d)

D

86.

The composition of any function, f(x), and
its inverse, f^-1(x) =

a)

x

b)

f(x)

c)

1

d)

0

87.

Find the inverse of f(x) = x² - 5

a)

f^-1(x) = √(x) + 5

b)

f^-1(x) = ∛(x-5)

c)

f^-1(x) = ±√(x+5)

d)

f^-1(x) = x² - 5

88.

Which expression represents g(f(x)) if f(x) = 2x - 8
and
g(x) = 4x

a)

8x - 32

b)

8x² - 32x

c)

8x - 8

d)

6x - 8

89.

a)

A

b)

B

c)

C

d)

D

90.

a)

A

b)

B

c)

C

d)

D

91.

Given f(x)= -3x+7 and g(x)=2x² - 8, find g(f(x)).

a)

g(f(x))= -6x²+31

b)

g(f(x))= -6x²+24

c)

g(f(x))=18x²-84x+90

d)

g(f(x))=9x²-42x-41

92.

Are the following inverses of each other?

a)

True

b)

False

93.

Was the inverse function found correctly?

a)

no,

b)

yes

94.

Determine the inverse for the function:

P (x) = 2x² + 1

a)

P^-1(x) = $\frac{x^2-1}{2}$

b)

P^-1(x) = $\frac{x^2+1}{2}$

c)

P^-1(x) = $\sqrt[]{\frac{x-1}{2}}$

d)

P^-1(x) = $\sqrt[]{\frac{x+1}{2}}$

95.

Determine the inverse for the function:

R (x) = 2x + 1

a)

R^-1(x) = $\frac{x-1}{2}$

b)

R^-1(x) = $\frac{x+1}{2}$

c)

R^-1(x) = $x-3$

d)

R^-1(x) = $x\ +3$

96.

Determine the inverse for the function:

Q(x) = $\frac{2x\ -7}{4}$

a)

Q^-1(x) = $\frac{2x-4}{7}$

b)

Q^-1(x) = $\frac{4x+7}{2}$

c)

Q^-1(x) = $\frac{7x\ -2}{4}$

d)

Q^-1(x) = $\frac{2x\ +4}{7}$

97.

Determine the inverse for the function:

S (x) = $\frac{2x^2\ -7}{4}$

a)

S^-1(x) = $\frac{2x-4}{7}$

b)

S^-1(x) = $\frac{4x+7}{2}$

c)

S^-1(x) = $\sqrt[]{\frac{4x+7}{2}}$

d)

S^-1(x) =

$\sqrt[]{\frac{2x+7}{4}}$

98.

Determine the inverse for the function:

T(x) = $6x\ -\ 7$

a)

T^-1(x) = $\frac{x-7}{6}$

b)

T^-1(x) = $\frac{x+7}{6}$

c)

T^-1(x) = $7x\ -6$

d)

T^-1(x) = $7x\ +6$

99.

f(x) = 3x + 10
g(x) = x - 2
Find (f∘g)(0)

a)

16

b)

4

c)

-4

d)

None of these.

100.

Given f(x) = 2x and g(x) = x²+3 , find f(g(x)).

a)

x²+2x+3

b)

4x²+3

c)

2x²+3

d)

2x²+6

101.

Given f(x) = 3x + 10
and g(x) = x - 2
Find f(g(5))

a)

19

b)

23

c)

-10

d)

None of these.

102.

Given g(x)= -3x and f(x)=x²+2, find g(f(x)).

a)

g(f(x))= -3x²-6

b)

g(f(x))= -3x²+2

c)

g(f(x))=9x²+2

d)

g(f(x))= -9x²+2

103.

What is the inverse of the given coordinates: (1, 2) (3, 8) (-3, 6)

a)

(1, 2) (3, 8) (-3, 6)

b)

(1, 2) (8, 3) (-3, 6)

c)

(-1, -2) (-3, -8) (3, -6)

d)

(2, 1) (8, 3) (6, -3)

104.

Find the inverse of f(x) = -4x - 12

a)

f^-1(x) = 4x - 3

b)

f^-1(x) = -1/4x - 3

c)

f^-1(x) = 1/4x + 3

d)

f^-1(x) = -4x - 3

105.

Find the inverse of
f(x) = 1/4x - 7

a)

f^-1(x) = 4x + 7

b)

f^-1(x) = -4x + 28

c)

f^-1(x) = -4x - 7

d)

f^-1(x) = 4x + 28

106.

Are the following inverses of each other?

a)

True

b)

False

107.

What is the inverse function of a quadratic (x²)?

a)

A square root function

b)

2x

c)

Another quadratic

d)

A linear function

108.

Find the inverse of f(x) = x² - 5

a)

f^-1(x) = √(x) + 5

b)

f^-1(x) = ∛(x-5)

c)

f^-1(x) =√(x+5)

d)

f^-1(x) = x² - 5

109.

When finding the inverse of a relation,
1st you replace f(x) with y
2nd switch the x's and y's
What do you do next?

a)

solve for y

b)

replace y with f^-1(x)

c)

solve for x

d)

find the greatest common factor

110.

a)

A

b)

B

c)

C

d)

D

111.

a)

A

b)

B

c)

C

d)

D

112.

Given j(x) = ∛(x-1)
and h(x) = x³+1,
find j(h(x)).

a)

x³+3x²-9x-3

b)

x

c)

x³-3x²+3x-1

d)

j(x) * h(x)

113.

If $f\left(3\right)\ =\ 12,\$ what is the value of $f^{-1}\left(12\right)$ ?

a)

48

b)

Not enough information

c)

3

d)

0

114.

a)

Inverse Functions

b)

Not Inverse Functions

115.

Find the inverse of:

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

a)

$f^{-1}\left(x\right)=\frac{x+3}{2}$

b)

$f^{-1}\left(x\right)=\frac{x-2}{3}$

c)

$f^{-1}\left(x\right)=-3x-2$

d)

$f^{-1}\left(x\right)=\frac{1}{3}x-2$

116.

Find the inverse of:

$f\left(x\right)=5x-9$

a)

$f^{-1}\left(x\right)=\frac{x+3}{2}$

b)

$f^{-1}\left(x\right)=\frac{x-9}{5}$

c)

$f^{-1}\left(x\right)=-5x-9$

d)

$f^{-1}\left(x\right)=\frac{x+9}{5}$

117.

Find the inverse of:

$f\left(x\right)=-3x+1$

a)

$f^{-1}\left(x\right)=\frac{x}{3}+1$

b)

$f^{-1}\left(x\right)=\frac{x-3}{1}$

c)

$f^{-1}\left(x\right)=3x-1$

d)

$f^{-1}\left(x\right)=\frac{x-1}{-3}$

118.

Find the inverse of:

$f\left(x\right)=x^2$

a)

$f^{-1}\left(x\right)=\sqrt[]{x}$

b)

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

c)

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

d)

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

119.

Find the inverse of:

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

a)

$f^{-1}\left(x\right)=\sqrt[]{x}+3$

b)

$f^{-1}\left(x\right)=\frac{x}{2}-3$

c)

$f^{-1}\left(x\right)=\sqrt[]{x+3}$

d)

$f^{-1}\left(x\right)=x+\frac{1}{3}$

120.

^{What is the x- intercept of the line?}

a)

(1, 0)

b)

(2, 0)

c)

( -1, 0)

d)

(-2, 0)

121.

Which ordered pair could represent a y-intercept on a graph?

a)

(6, 0)

b)

(0, 4)

c)

(-1, 3)

d)

(2, 0)

122.

What is the y-intercept of the line graphed below?

a)

-3

b)

4

c)

3

d)

4/3

123.

What is the y-intercept in the equation x + 2y = 4

a)

(0, 0)

b)

(0, 2)

c)

(4, 0)

d)

(2, 0)

124.

a)

Taylor can write 6 words per minute

b)

Taylor can write 25 words per minute

c)

Taylor can write 50 words per minute

d)

Taylor can write 150 words per minute

125.

What is the rate of change for the following graph?

a)

80

b)

20

c)

40

d)

160

126.

The graph represents the height of a paper airplane falling.

What is occurring at the point (8,0)?

a)

The paper plane is 8 feet in the air to start

b)

The paper plane is 0 feet in the air after 8 seconds

c)

The paper plane has just been thrown

127.

Which of the following is the graph of $5x\ +\ 2y\ =\ 10$ ?

a)

b)

c)

d)

128.

Which of the following is the graph of $x\ -\ 2y\ =\ -8$ ?

a)

b)

c)

d)

129.

Which of the following is the graph of $x\ +\ 2y\ =\ 4$ ?

a)

b)

c)

d)

130.

Give the x-intercept
3x + 8y = 24

a)

(8, 0)

b)

(0, 8)

c)

(3, 0)

d)

(0, 3)

131.

What is the x and y intercept for the following equation ?
4x - 10y = 20

a)

x - int = 4
y-int = -10

b)

x-int = 5
y-int = 2

c)

x - int = 5
y int = -2

d)

x -int = 4
y -int = -10

132.

What is the function represented by the given graph?

a)

y = x

b)

y = -x^2

c)

y = -x

d)

y = x^2

133.

What are the coordinates of point A on the graph?

a)

(2, 0)

b)

(6, -6)

c)

(3, -3)

d)

(11, -9)

134.

What are the coordinates of point B on the graph?

a)

(-5, 0)

b)

(-4, -2)

c)

(-6, 2)

d)

(-7, 16)

135.

What is the value of y when x = 18?

a)

-10

b)

15

c)

-12

d)

10

136.

What is the value of y when x = -3?

a)

15

b)

10

c)

-10

d)

-16

137.

What are the coordinates of point C on the graph?

a)

(-10, -20)

b)

(-5, -10)

c)

(0, 0)

d)

(5, 10)

138.

What is the value of y when x = 4?

a)

14

b)

9

c)

4

d)

-1

139.

What are the coordinates of point D on the graph?

a)

(30, 0)

b)

(25, 24)

c)

(20, -20)

d)

(15, -10)

140.

What is the value of y when x = 25?

a)

19

b)

24

c)

9

d)

-4

141.

What is the function represented by the given graph?

a)

y = -x^2

b)

y = x

c)

y = -x

d)

y = x^2

142.

Which equation represents the following graph?

a)

y = 3x + 2

b)

y = -2x + 3

c)

y = 2x + 3

d)

y = -3x + 2

143.

The point (8, 4) is on the graph. What does this point represent in terms of this graph?

a)

4 cups of sugar are needed per jar of jam.

b)

8 cups of sugar are needed per jar of jam.

c)

8 jam jars require 4 cups of sugar

d)

4 jam jars require 8 cups of sugar.

144.

Jerry is 6 years younger than Henry. Which table correctly represents the relationship between x, Jerry's age, and y, Henry's age?

a)

b)

c)

145.

How many cups of sugar will be needed for 28 jars of jam?

(a)

146.

a)

A

b)

B

c)

C

d)

D

147.

a)

A

b)

B

c)

C

d)

D

148.

What is the equation of this line?

a)

x = 3

b)

x = -3

c)

y = 3

d)

y = -3

149.

What is the equation of this line?

a)

x = 3

b)

x = -3

c)

y = 3

d)

y = -3

150.

Which coordinates lie in this line?

a)

(-3,1)

b)

(1,-3)

c)

(-3, 20)

d)

(20,-3)

151.

Which coordinates lie in this line?

a)

(3,-3)

b)

(13,-3)

c)

(-3,3)

d)

(-3,13)

152.

How many boxes of cookies were sold in Tuesday?

a)

1

b)

4

c)

7

d)

9

153.

How far was Edward from home when he visited Nicola?

a)

20 MILES

b)

30 MILES

c)

40 MILES

154.

HOW LONG DID EDWARD STOP FOR?

a)

1 HOUR AND 30 MINUTES

b)

2 HOURS

c)

2 HOURS AND 30 MINUTES

155.

How far from Bristol is Anne at 08:00?

a)

2O MILES

b)

1O MILES

c)

30 MILES

156.

How far does the cyclist travel between A and B?

a)

600 meters

b)

800 meters

c)

1200 meters

157.

How long does it take the cyclist to cover 800 meter distance?

a)

60 seconds

b)

80 seconds

c)

120 seconds

158.

How many more miles did Jason drive on Wednesday than on Tuesday?

a)

40 miles

b)

10 miles

c)

5 miles

d)

50 miles

159.

Horizontal lines have

a)

Undefined gradient

b)

Zero gradient

c)

Negative gradient

d)

Positive gradient

160.

What gradient is represented here

a)

negative

b)

zero

c)

undefined

d)

positive

161.

What gradient is represented here

a)

Positive

b)

negative

c)

undefined

d)

zero

162.

Describe the transformation that occurred
3f(x)

a)

Up 3 units

b)

Narrower / Steeper

c)

Wider / Less Steep

d)

Right 3 units

163.

Describe the transformation that occurred
f(¹/₄x)

a)

Right 3 units

b)

Narrower / Steeper

c)

Wider / Less Steep

d)

Left 3 units

164.

Describe the transformation that occurred

g(x) =2f(x)

a)

Up 2 units

b)

vertical compression

c)

vertical stretch

d)

Right 2 Units

165.

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

166.

What are the transformations?
y=(x-2)³+4

a)

Horz shift right 2 Vert shift up 4

b)

Horz shift left 2 Vert shift up 4

c)

Horz shift right 2 Vert shift down 4

d)

Horz shift left 2 Vert shift up 4

167.

Write in function form: translation 3 units right

a)

g(x) = f(x − 3)

b)

g(x) = f(x) − 3

c)

g(x) = -3f(x)

d)

g(x) = f(-3x)

168.

horizontal compression

a)

g(x) = 3f(x)

b)

g(x) = ½f(x)

c)

g(x) = f(¼x)

d)

g(x) = f(5x)

169.

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

170.

Which equation represents the parent quadratic function being vertically stretched by a factor of 2, translated 5 units to the right and translated 3 units down?

a)

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

b)

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

c)

$y=\frac{1}{2}\left(x+5\right)^2-3$

d)

$y=\frac{1}{2}\left(x-5\right)^2-3$

171.

Given $h\left(x\right)=-2x^2+1$ , describe the transformations from the parent function.

a)

reflect in the x-axis, vertically stretched by a factor of 2 and translate 1 unit up

b)

reflect in the x-axis, vertically compressed by a factor of 2 and translate 1 unit up

c)

reflect in the x-axis, vertically stretched by a factor of 2 and translate 1 unit right

d)

reflect in the y-axis, vertically stretched by a factor of 2 and translate 1 unit left

Function & Transformation Quiz

Total questions: 171

Worksheet time: 6hrs 21mins

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