Transformations of Absolute Values

Choose the correct translated function.

• f(x)= |x|+2

• f(x)= |x|-2

• f(x)= -|x|

• f(x)= -|x|+2

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 is vertically compressed by a factor of 2/5 and shifted up 6.

• y=6|x|-2/5

• y=2/5|x|+6

• y=2/5|x+6|

• y=2/5|x-6|

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

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 are the transformations of the equation: y = -¹/₂|x| + 3

• Stretch

• Reflect

• Vertical shift

• Shrink - Compress

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Describe the transformation of the equation below from the parent function of y = I x I
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, shrunk by 2, right 3, up 3

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

Describe the transformations of the absolute value equation.

• Reflects over x-axis, compresses wider, shifts right 1 unit

• Reflects over x-axis, compresses wider, shifts up 1 unit

• Reflects over x-axis, stretches more narrow, shifts right 1 unit

• Reflects over x-axis, stretches more narrow, shifts up 1 unit