wayground logo

Free Printable Worksheets

NEW

Font size

S
M
L
XL
Worksheets

A2 Unit 5 Review (CP)

Total questions: 52

Worksheet time: 2hrs 30mins

Name
Class
Date
1.

Describe the transformation that occurred

p(x) = f(x + 3)

a)

Right 3 units

b)

Vertical Stretch

c)

Up 3 units

d)

Left 3 units

2.

Describe the transformation that occurred.

h(x) = f(x) + 2

a)

up 2 units

b)

left 2 units

c)

Vertical Strech

d)

right 2 units

3.

Describe the transformation that occurred.

w(x) = f(x - 7)

a)

Down 7

b)

Up 7

c)

Right 7

d)

vertical compression

4.

Describe the transformation that occurred

m(x) = f(x + 1)

a)

Left 1 Unit

b)

Right 1 unit

c)

vertical stretch

d)

up 1 unit

5.

Describe the transformation that occurred

k(x) = f(x) - 9

a)

vertical compression

b)

Down 9 units

c)

Left 9 units

d)

Right 9 Units

6.

Describe the transformation that occurred

g(x) =2f(x)

a)

Up 2 units

b)

vertical compression

c)

vertical stretch

d)

Right 2 Units

7.

Describe the transformation that occurred

h(x) = 1/5f(x)

a)

Up 5 Units

b)

vertical compression

c)

vertical stretch

d)

Down 5 Units

8.
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
9.
Describe the transformation from dotted to solid.
a)
f(x + 4)
b)
f(x - 4)
c)
f(x) + 4
d)
f(x) - 4
10.
Describe the transformation from dotted to solid.
a)
f(x + 5) + 3
b)
f(x +3) + 5
c)
f(x - 5) + 3
d)
f(x - 3) + 5
11.
Describe the transformation that occurred
f(1/4x)
a)

Vertical compression by a factor of 1/4

b)

Horizontal compression by a factor of 1/4

c)

Horizontal stretch by a factor of 4

d)

Vertical stretch by a factor of 4

12.
Describe the transformation:
f(3x)
a)

Horizontal Stretch by a factor of 3

b)

Horizontal Compression by a factor of 1/3

c)

Vertical Stretch by a factor of 3

d)

Vertical Compression by a factor of 1/3

13.
a)
Left 2, Down 2, Vertical Stretch
b)
Right 2; Up 1; 
c)
Vertical Stretch; Right 2; Up 1
d)
Left 2; Down 2;
14.
a)
Reflection over y-axis; Right 3; Up 1
b)
Right 3; Up 1
c)
Reflection over x-axis; Left 3; Up 1
d)
Reflection of x-axis; Right 3; Up 1
15.
a)
f(x)=x2 + 2
b)
f(x) = (x-2)2 + 1
c)
f(x)= (x+2)2 - 1
d)
f(x)= (x+2)2 + 1
16.
Which transformation maps the graph of
f(x) = x2 to the graph of g(x) = (x + 4)2?
a)
a translation shifting f(x) 4 units up
b)
a translation shifting f(x) 4 units down
c)
a translation shifting f(x) 4 units to the left
d)
a translation shifting f(x) 4 units to the right
17.
Which transformation will occur if f(x) = x2 is replaced with 2⋅f(x)?
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.
18.
Which transformation will occur if f(x) = x2 is replaced with 1/2⋅f(x)?
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.
19.
Which transformation will occur if f(x) = x2 is replaced with f(x) + 2?
a)

Horizontal translation left 2 units

b)

Horizontal compression by a factor of 1/2

c)

Vertical translation up by 2 units.

d)

Reflection across the x-axis.

20.
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.
21.
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.
22.
Describe the transformation of y = f(x) for the new function
 y = 5f(x)
a)
The graph of y = f(x) compressed horizontally by a factor of 1/5
b)
The graph of y = f(x) was stretched horizontally by a factor of 5
c)
The graph of y = f(x) was compressed vertically by a factor of 1/5
d)
The graph of y = f(x) was stretched vertically by a factor of 5
23.
Describe the transformation of y = f(x) for the new function
 y = 1/5f(x)
a)
The graph of y = f(x) compressed horizontally by a factor of 1/5
b)
The graph of y = f(x) was stretched horizontally by a factor of 5
c)
The graph of y = f(x) was compressed vertically by a factor of 1/5
d)
The graph of y = f(x) was stretched vertically by a factor of 5
24.
Describe the transformation of y = f(x) for the new function
 y = - f(x)
a)
The graph of y = f(x) was flipped vertically across the x axis. 
b)
The graph of y = f(x) was flipped horizontally across the y axis.
c)
The graph of y = f(x) was shifted down.
d)
The graph of y = f(x) was shifted up
25.
Describe the transformation of y = f(x) for the new function
 y = f(- x)
a)
The graph of y = f(x) was flipped vertically across the x axis. 
b)
The graph of y = f(x) was flipped horizontally across the y axis.
c)
The graph of y = f(x) was shifted down.
d)
The graph of y = f(x) was shifted up
26.

Describe the transformation on f(x) to create g(x), if g(x) = 3f(x - 3) + 5

a)

Shifted up 5 units Shifted right 3 units Stretched vertically by a factor of 3

b)

Shifted up 5 units Shifted left 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

27.

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(x−5)2−3y=2\left(x-5\right)^2-3

b)

y=2(x+5)2−3y=2\left(x+5\right)^2-3

c)

y=12(x+5)2−3y=\frac{1}{2}\left(x+5\right)^2-3

d)

y=12(x−5)2−3y=\frac{1}{2}\left(x-5\right)^2-3

28.

Given g(x) is obtained by transforming of h(x) and g(x)=h(x−1)+2g\left(x\right)=h\left(x-1\right)+2  , describe the transformations on  h\left(x\right).  

a)

translated 1 unit left and 2 units up

b)

translated 1 unit right and 2 units up

c)

translated 2 units left and 1 unit up

d)

translated 2 units right and 1 unit up

29.

Given g(x) is a transformation of f(x). Which of the following represents a vertical stretch and a translation to the right?

a)

g(x)=5f(x+1)g\left(x\right)=5f\left(x+1\right)

b)

g(x)=−13f(x−2)g\left(x\right)=-\frac{1}{3}f\left(x-2\right)

c)

g(x)=43f(x−5)g\left(x\right)=\frac{4}{3}f\left(x-5\right)

d)

g(x)=45f(x+2)g\left(x\right)=\frac{4}{5}f\left(x+2\right)

30.

Given h(x)=−2x2+1h\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

31.

Given h(x) is obtained by translating g(x) two units down and 4 units right, write a rule for h(x) in terms of g(x).

a)

h(x)=g(x−2)+4h\left(x\right)=g\left(x-2\right)+4

b)

h(x)=g(x−4)−2h\left(x\right)=g\left(x-4\right)-2

c)

h(x)=(x−4)2−2h\left(x\right)=\left(x-4\right)^2-2

d)

h(x)=g(x+4)−2h\left(x\right)=g\left(x+4\right)-2

32.
If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?
a)
-f(x)
b)
f(-x)
c)
f-1(x)
d)
f(2x)
33.

Identify the transformation from the graph of f(x)=x2 to 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

34.

Describe the transformations that maps f(x) to g(x) if g(x) = - f(x + 6) - 10

a)

Reflect over y-axis Shifted down 10 units Shifted left 6 units

b)

Reflect over x-axis Shifted up 10 units Shifted left 6 units

c)

Reflect over y-axis Shifted up 10 units Shifted right 6 units

d)

Reflect over x-axis Shifted down 10 units Shifted left 6 units

35.
Describe the transformation of y = f(x) to the new function
 y = f(1/5x)
a)
Horizontal shrink by a factor of 1/5
b)
Vertical stretch be a factor of 5
c)
Vertically shrink by a factor of 1/5
d)
 Horizontal stretch by a factor of 5
36.
Which equation describes the transformation of shifting f(x)=x2 two units right?
a)
x2 + 2
b)
x2 - 2
c)
(x + 2)2
d)
(x - 2)2
37.
  The blue function is the original function f(x) = x3.  Which of the following is the correct equation for the red function, g(x)?
a)
g(x)=x3+1
b)
g(x)=x3-1
c)
g(x)=(x-1)3
d)
g(x)=(x+1)3
38.
Identify the transformation from the graph of f(x)=x2 to 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
39.
Given f(x) = (x-3)2 + 5.  What transformations took place from the original function f(x)?
a)
Left 3 and up 5
b)
Right 3 and down 5
c)
Left 3 and down 5
d)
Right 3 and up 5
40.
If the yellow curve has equation f(x)=x2,
a)
Then the blue curve is f(x) = x2 - c
b)
Then the blue curve is f(x) = (x+c)2
c)
Then the blue curve is f(x) = (x-c)2
d)
Then the blue curve is f(x) = x2 + c
41.
Identify the coordinates of the point (3 , -2), translated 5 units left and 6 units up.
a)
(2,-4)
b)
(-2,4)
c)
(8,4)
d)
(-2,-8)
42.
If the blue function is f(x)=x2, then the red function must be
a)
g(x)=x2-5
b)
g(x)=x2+5
c)
g(x)=(x-5)2
d)
g(x)=(x+5)2
43.

g(x) = -f(x)

Describe the transformation to f(x) that results in g(x).

a)

f(x) has been reflected over the x-axis.

b)

f(x) has been reflected over the y-axis.

44.
Describe the transformation of y = f(x) for the new function
 y = f(- x)
a)
The graph of y = f(x) was flipped vertically across the x axis. 
b)
The graph of y = f(x) was flipped horizontally across the y axis.
c)
The graph of y = f(x) was shifted down.
d)
The graph of y = f(x) was shifted up
45.

The absolute value parent function is graphed. Which of the following statements is true based on the parent function?

a)

The graph representing the function f(x)=∣x+3∣+5f\left(x\right)=\left|x+3\right|+5 is the graph of the parent function translated 3 units to the right and 5 units downward.

b)

The graph representing the function f(x)=∣x+3∣+5f\left(x\right)=\left|x+3\right|+5 is the graph of the parent function translated 3 units to the right and 5 units upward.

c)

The graph representing the function f(x)=∣x−3∣+5f\left(x\right)=\left|x-3\right|+5 is the graph of the parent function translated 3 units to the right and 5 units upward.

d)

The graph representing the function f(x)=∣x−3∣+5f\left(x\right)=\left|x-3\right|+5 is the graph of the parent function translated 3 units to the left and 5 units upward.

46.

The quadratic parent function is graphed. Which of the following statements is true based on the parent function?

a)

The graph representing the function  f(x)=(x−2)2+3f\left(x\right)=\left(x-2\right)^2+3  is the graph of the parent function translated 2 units to the right and 3 units downward.

b)

The graph representing the function f(x)=(x+1)2−2f\left(x\right)=\left(x+1\right)^2-2  is the graph of the parent function translated 1 unit to the left and 2 units downward

c)

The graph representing the function  f(x)=(x−3)2−4f\left(x\right)=\left(x-3\right)^2-4  is the graph of the parent function translated 3 units to the left and 4 units upward.

d)

The graph representing the function  f(x)=(x+5)2+1f\left(x\right)=\left(x+5\right)^2+1  is the graph of the parent function translated 5 units to the right and 1 unit upward.

47.
Identify the transformation from the graph of f(x)=2x to the graph g(x)=2x-3
a)
shifted up three units
b)
shifted down three units
c)
shifted left three units
d)
shifted right four units
48.
What are the transformations of this functions compared to the parent function y = √(x)?
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
49.
a)
f(x) = −(x−2)3−1
b)
f(x) = −(x+2)3−1
c)
f(x) = −(x−2)3 + 1
d)
f(x) = −(x+2)3 + 1
50.
a)
f(x)=3∣x−2∣−2
b)
f(x)=1/3∣x+2∣−2
c)
f(x)=3∣x+2∣−2
d)
f(x) = 1/3∣x−2∣+2
51.
What is the equation of this graph?
a)
f(x) = (x + 2)2 - 3
b)
f(x) = (x - 2)2 - 3
c)
f(x) = |x + 2| - 3
d)
f(x) = |x - 2| - 3
52.
What is the equation of the graph?
a)
y = √(x - 3)
b)
y = √(x) + 3
c)
y = √(x - 5) + 4
d)
y = √(x + 5) + 4

Similar Resources on Wayground

Class 8 QUIZ - Motion

50 questions

Class 8 QUIZ - Motion

quiz

Worksheet

•

8th - 10th Grade

PROYECTO_Pensamiento Matemático_PARCIAL 1

56 questions

PROYECTO_Pensamiento Matemático_PARCIAL 1

quiz

Worksheet

•

10th Grade

Parcial n°4 de 11mo

48 questions

Parcial n°4 de 11mo

quiz

Worksheet

•

11th Grade

8°AMAT FACTORIZACIÓN ASPA SIMPLE

50 questions

8°AMAT FACTORIZACIÓN ASPA SIMPLE

quiz

Worksheet

•

8th Grade

Class 8

51 questions

Class 8

quiz

Worksheet

•

8th Grade

REMEDIAL TEST: DECEMBER

50 questions

REMEDIAL TEST: DECEMBER

quiz

Worksheet

•

7th - 8th Grade

Algebra - A little bit of everything!

52 questions

Algebra - A little bit of everything!

quiz

Worksheet

•

7th - 9th Grade