Transformations of the Absolute Value Function

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

What is the equation of the function in the graph?

Tags

CCSS.HSF-IF.C.7D

f(x) = −|x+4|

• A

• B

• C

• D

Tags

CCSS.HSF-IF.C.7D

Choose the graph that matched the equation.
y = |x - 1|

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Tags

CCSS.HSF-IF.C.7D

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 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|