Transformations Absolute Value Functions

Match the descriptions to the graphs.

a

b

i

j

g

f

d

h

e

c

Positive Horizontal shift

Negative Horizontal shift

Vertical stretch

Vertical Reflection

Horizontal Reflection

Positive Vertical shift

Horizontal compression

Vertical compression

Horizontal stretch

Negative Vertical shift

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

• ...the graph gets wider

• if "a" is a whole number...

• flips the graph over

• the "h"

• ...the graph gets thinner

• "-a"

• moves the graph left/right

• the "k"

• moves the graph up/down

• if "a" is a fraction...

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