Transformations Absolute Value Functions

Match the descriptions to the graphs.

a

b

i

j

g

f

d

h

e

c

Positive Vertical shift

Vertical stretch

Vertical Reflection

Horizontal stretch

Negative Vertical shift

Negative Horizontal shift

Positive Horizontal shift

Vertical compression

Horizontal Reflection

Horizontal compression

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

• ...the graph gets thinner

• "-a"

• ...the graph gets wider

• if "a" is a fraction...

• moves the graph up/down

• if "a" is a whole number...

• moves the graph left/right

• the "h"

• flips the graph over

• 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