Free Printable Absolute Value Transformations

1.

Describe the transformation from the parent absolute value function:

$y=\left|x\right|-5$

a)

Shift up 5 units

b)

Shift down 5 units

c)

Shift right 5 units

d)

Shift left 5 units

2.

Describe the transformation from the parent absolute value function:

$y=8\left|x\right|$

a)

Vertical stretch by a factor of 8

b)

Vertical compression by a factor of 8

3.

Describe the transformation from the parent absolute value function:

$y=-\left|x+4\right|-3$

* Select THREE answers *

a)

Reflection over the x-axis

b)

Translation 4 units left

c)

Translation 4 units up

d)

Translation 3 units left

e)

Translation 3 units down

4.

What is the equation of this graph?

a)

f(x) = 2(x + 2)² - 3

b)

f(x) = 2(x - 2)² - 3

c)

f(x) =2|x + 2| - 3

d)

f(x) = 2|x - 2| - 3

5.

a)

Linear

b)

Absolute Value

c)

Exponential

d)

Square root

6.

Match the following given the function:

Axis of Symmetry

All Real Numbers

Function Type

$y\le3$

Domain

( 1 , 3 )

Range

x = 1

Vertex

Absolute Value

7.

What is the vertex of the function

a)

(0,3)

b)

(1,-4)

c)

x=-1

d)

(-1,4)

e)

(4,-1)

8.

Which graph represents Equation B?

a)

b)

c)

9.

Which of the following coordinates appears on the graph of $f\left(x\right)=\ \left|x-9\right|$

a)

(-9,0)

b)

(0,9)

c)

(9,0)

d)

(0,-9)

10.

What is the vertex of the absolute value function? Write as a coordinate (x,y)

(a)

11.

What is the y-intercept?

a)

(0, 7)

b)

none

c)

(-4, 3)

d)

(0, 0)

12.

What is the equation to this graph?

a)

$f(x)=\left|x+2\right|+1$

b)

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

c)

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

d)

$f(x)=\left|x-2\right|-1$

13.

Write the function that corresponds with the graph.

a)

$f\left(x\right)=\left|x\right|-4$

b)

$f\left(x\right)=\left|x\right|+4$

c)

$f\left(x\right)=\left|x+4\right|$

d)

$f\left(x\right)=\left|x-4\right|$

14.

What is the shape of an absolute value function?

a)

Line

b)

V

c)

U

d)

Z

15.

What is the vertex of the following function?

y= |x - 4|+1

a)

(4,-1)

b)

(4,1)

c)

(-4,-1)

d)

(-4,1)

16.

Match the following equations to their corresponding graphs.

$y=\left|x-4\right|-1$

$y=\left|x+4\right|-1$

$y=\left|x+4\right|+1$

$y=\left|x-4\right|+1$

17.

Describe the transformation that is applied to the parent function.
f(x) = IxI -5

a)

Shifts left 5

b)

Shifts right 5

c)

Shifts up 5

d)

Shifts down 5

18.

How does the following move from the parent function
y = |x|
y = 1/2|x| + 3

a)

Opens Up, Skinnier, Shift down

b)

Opens Down, Wider, Shift up

c)

Opens Up, Wider, Shift up

d)

Opens Down, Skinnier, Shift up

19.

What is the vertex of the following function? $y=2|x-3|+1$

a)

$(2,3)$

b)

$(-3,1)$

c)

$(2,-3)$

d)

$(3,1)$

20.

Use Narrow, Wide, or Same to compare the width of this graph to its parent function.
y = 5/2 |x - 1|+ 2

a)

Narrow

b)

Wide

c)

Same

Absolute Value Transformations

Total questions: 20

Worksheet time: 46mins

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