Absolute Value 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

Tags

CCSS.HSF.BF.B.3

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

• Shift up
• Shift down

Tags

CCSS.HSF.BF.B.3

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

• Wider
• Skinnier

Tags

CCSS.HSF.BF.B.3

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|

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.8

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

y = I x |+ 3

• Left 3

• Right 3

• Up 3

• Down 3

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Write the equation for a graph that shifts down 9.

• y=|x|-9
• y=|x-9|
• y=-9|x|
• y=|x|+9

Tags

CCSS.HSF.BF.B.3

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

What is the vertex of the following function?
y=2|x-3|+1

• (2,3)
• (-3,1)
• (2,-3)
• (3,1)

Tags

CCSS.HSF-IF.C.7D

What is the vertex of the following function?

y= -4|x+2|+5

• (2,5)

• (-1,5)

• (-4,-2)

• (-2,5)

Tags

CCSS.HSF-IF.C.7D

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

Tags

CCSS.HSF.BF.B.3