Solving Absolute Value Inequalities and Understanding Transformations

Describe the transformation that is applied to the parent function. 
f(x) = IxI -5

• Shifts left 5

• Shifts right 5

• Shifts up 5

• Shifts down 5

Choose the correct translated function.

• f(x)= |x|+2

• f(x)= |x|-2

• f(x)= -|x|

• f(x)= -|x|+2

Does the following get wider  or skinnier from the parent function y = |x|?
y = 5|x| 

• Wider

• Skinnier

How does the following move from the parent function
y = |x|
y = 1/2|x| + 3

• Opens Up, Skinnier, Shift down

• Opens Down, Wider, Shift up

• Opens Up, Wider, Shift up

• Opens Down, Skinnier, Shift up

What is the transformation for the function: y = -3|x| ?

• stretched and shifted down

• compressed and shifted down

• opens down and compressed

• opens down and stretched

What is the transformation for the function: y=|x|+10 ?

• Shifted left 10

• Shifted right 10

• Shifted up 10

• Shifted down 10

Does the following shift up or shift down from the parent function y = |x|?
y = |x| - 8

• Shift up

• Shift down

Describe the transformation of the equation below from the parent function of y = I x I

y = I x| - 4

• Left 4

• Right 4

• Up 4

• Down 4

Describe the transformation of the equation below from the parent function of y = I x I

• Left 3

• Right 3

• Up 3

• Down 3

What is the parent function for absolute values?

• y = x

• y = |x|

• y = x²

• y = 2^x