Transformations Absolute Value Functions

Match the descriptions to the graphs.

a

b

i

j

g

f

d

h

e

c

Positive Vertical shift

Negative Vertical shift

Vertical compression

Positive Horizontal shift

Horizontal Reflection

Vertical Reflection

Negative Horizontal shift

Horizontal stretch

Horizontal compression

Vertical stretch

Match the following. Use the general absolute value equation as a guide: y = a∣x - h∣ + k

• flips the graph over

• if "a" is a fraction...

• ...the graph gets wider

• the "k"

• moves the graph left/right

• if "a" is a whole number...

• ...the graph gets thinner

• "-a"

• moves the graph up/down

• the "h"

Which function is graphed?

• f(x) = -|2x - 5| + 5

• f(x) = -|x - 3| - 3

• f(x) = -2|x + 3| + 5

• f(x) = -2|x + 5| - 3

Tags

CCSS.HSF-IF.C.7D

What is the equation of the graph below?

• f(x) = I x I + 1

• f(x) = I x I - 1

• f(x) = -I x I + 1

• f(x) = -I x I - 1

Tags

CCSS.HSF-IF.C.7D

Does the following shift up or shift down from the parent function y = |x|?
y = |x| - 8

• Shift up

• Shift down

Does the following get wider  or skinnier from the parent function y = |x|?
y = 5|x| 

• Wider

• Skinnier

Write the equation for a graph that shifts down 9.

• y=|x|-9

• y=|x-9|

• y=-9|x|

• y=|x|+9

Describe the transformation of the equation below from the parent function of y = I x I
y = I x - 4 I 

• Left 4

• Right 4

• Up 4

• Down 4

What is the transformation for the following equation:

y = 5|x|

• Compression

• Vertical Stretch