Transformations Absolute Value Functions

Match the descriptions to the graphs.

a

b

i

j

g

f

d

h

e

c

Negative Horizontal shift

Horizontal Reflection

Horizontal compression

Positive Vertical shift

Horizontal stretch

Vertical compression

Vertical Reflection

Positive Horizontal shift

Negative Vertical shift

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 whole number...

• ...the graph gets thinner

• if "a" is a fraction...

• ...the graph gets wider

• the "h"

• moves the graph up/down

• "-a"

• moves the graph left/right

• the "k"

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