Absolute Value Transformations

Which graph represents the parent function of an Absolute Value?

• Black

• Blue

• Orange

• Red

Which of the following shows a transformation:   Up 5?

•  $y=\left|x-5\right|$  

•  $y=5\left|x\right|$  

•  $y=\left|x\right|-5$  

•  $y=\left|x\right|+5$  

Which of the following shows a transformation:   Right 5?

•  $y=\left|x-5\right|$  

•  $y=5\left|x\right|$  

•  $y=\left|x\right|-5$  

•  $y=\left|x+5\right|$  

Which of the following shows a transformation:   Down 5?

•  $y=\left|x-5\right|$  

•  $y=5\left|x\right|$  

•  $y=\left|x\right|-5$  

•  $y=\left|x+5\right|$  

Which of the following shows a transformation:   Left 5?

•  $y=\left|x-5\right|$  

•  $y=5\left|x\right|$  

•  $y=\left|x\right|-5$  

•  $y=\left|x+5\right|$  

Which of the following shows a transformation:   Stretched by 5?

•  $y=\left|x-5\right|$  

•  $y=5\left|x\right|$  

•  $y=\left|x\right|-5$  

•  $y=\frac{1}{5}\left|x\right|$  

Determine the transformation 

• left 3, up 2
• right 3, up 2
• left 3, down 2
• right 3, down 2

Use Narrow, wide, or same to compare the width of this graph to the parent function.
y=4|x+3|-2

• Narrow
• Wide
• Same

Describe all the transformations from the parent function:

y = -2 I x - 3 I + 3

• reflected over x axis, stretched by 2, right 3, up 3

• reflected over x axis, stretched by 2, left 3 up 3.

• reflected over x axis, compressed by 2, right 3, up 3

• reflected over the x axis, compressed by 2, left 3, up 3

What are the transformations from the parent graph?

 $y=2\left|x-6\right|$  

• Stretched, Left 6

• Stretched, Right 6

• Compressed , Left 6

• Compressed, Right 6