Transformations Absolute Value

Write the equation for a graph that shifts down 9.

• y=|x|-9

• y=|x-9|

• y=-9|x|

• y=|x|+9

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 absolute value parent function.

• Left 2, up 4

• Right 2, up 4

• Left 2, down 4

• Right 2, down 4

Describe the transformation of the equation below from the absolute value parent function.

• Left 4

• Right 4

• Up 4

• Down 4

Choose the equation that best matches the graphed function.

Tags

CCSS.HSF-IF.C.7D

Write an absolute value function given the following transformations from the parent function: Reflection across the x-axis horizontal shift right 2 units vertical shift down 7 units

The blue graphs is the parent function f(x)=|x|, the red must be

• g(x)=|x+2|

• g(x)=|x|+2

• g(x)=|x-2|

• g(x)=|x|-2

f(x) = −|x+4|

• A

• B

• C

• D

Tags

CCSS.HSF-IF.C.7D

Write an absolute value function given the following transformations:
Vertical Stretch of 2
Horizontal shift left 1 unit
Vertical shift down 9 units

• f(x) = |2x + 1| - 9

• f(x) = |2x - 1| - 9

• f(x) = 2|x + 1| - 9 

• f(x) = 2|x - 1| - 9