Linear and Absolute Value Transformations

• Absolute Value
• Quadratic
• Cubic
• Linear

• Square Root
• Quadratic
• Absolute Value
• Linear

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

• Consta

• Linear

• Quadratic

• Absolute Value

• Quadratic

• Linear

• Absolute Value

• Cubic

For each circled number in the picture, use the drop-down option below to select the transformation it causes to the graph.

1) ​ (a)  

2)​ ​​ (b)  

• parent function

• shift up

• shift down

• shift right

• shift left

• reflection across x-axis

• vertical stretch

• vertical compression

For each circled number in the picture, use the drop-down option below to select the transformation it causes to the graph.

1) ​ (a)  

• parent function

• shift up

• shift down

• shift right

• shift left

• vertical reflection

• vertical stretch

• vertical compression

For each circled number in the picture, use the drop-down option below to select the transformation it causes to the graph.

• parent function

• shift up

• shift down

• shift right

• shift left

• vertical reflection

• vertical stretch

• vertical compression

Match the following. Use the general absolute value equation as a guide:

y = a∣x - h∣ + k

• moves the graph left/right

• if "a" is a whole number...

• moves the graph up/down

• the "h"

• ...the graph gets thinner

• "-a"

• flips the graph over

• the "k"

• ...the graph gets wider

• if "a" is a fraction...

State the RANGE of the absolute value function given the following transformations:

• y = |x - 2| - 7 

• y = -|x - 2| - 7

• y = |x + 2| + 7 

• y = -|x - 2| + 7

For each circled number in the picture, use the drop-down option below to select the transformation it causes to the graph.

1) ​ (a)  

2)​ ​ (b)  

3) ​ (c)  

• parent function

• shift up

• shift down

• shift right

• shift left

• vertical reflection

• vertical stretch

• vertical compression