Absolute Value Functions and Transformations

Write an absolute value function given the following transformations:
Reflection across the x-axis
Vertical shift right 2 units
Horizontal shift down 7 units

• y = -|x + 2| - 7 

• y = |x - 2| - 7 

• y = -|x - 2| - 7

• y = -|x - 2| + 7

Describe the transformations of the absolute value equation.

• Flips to A shape, compresses wider, shifts right 1 unit

• Flips to A shape, compresses wider, shifts up 1 unit

• Flips to A shape, stretches more narrow, shifts up 1 unit

What is the equation of the graph below?

• f(x ) = I x + 4 I + 2

• f(x ) = -I x - 4 I + 2

• f(x ) = I x - 4 I + 2

• f(x ) = -I x + 4 I + 2

Tags

CCSS.HSF-IF.C.7D

The shape of the function is

• a U shape

• a V shape

• randomly placed curved lines

• an X shape

Tags

CCSS.HSF-IF.C.7A

State the RANGE of the absolute value function given the following transformations:

• y = |x + 2| + 7 

• y = -|x - 2| + 7

• y = |x - 2| - 7 

• y = -|x - 2| - 7

Match the following. Use the general absolute value equation as a guide:

y = a∣x - h∣ + k

• moves the graph up/down

• "-a"

• ...the graph gets thinner

• the "h"

• ...the graph gets wider

• if "a" is a fraction...

• flips the graph over

• the "k"

• moves the graph left/right

• if "a" is a whole number...

Write the absolute value equation, given the following transformations:
Compressed by 1/2, Reflection across the x-axis,Vertical shift right 2 units, Horizontal shift down 7 units

f(x) = (a)   ​|x (b)   ​| (c)  

• -1/2

• -2

• -7

• 1/2

• +2

• +7

I -808 I

• 808

• -808

Tags

CCSS.6.NS.C.7C

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

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

• Shift up

• Shift down