Absolute Value Simple Transformations

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 is the transformation for the function: y = -3|x| ?

• stretched and shifted down

• compressed and shifted down

• opens down and compressed

• opens down and stretched

What is the parent function for absolute values?

• y = x

• y = |x|

• y = x²

• y = 2^x

Write the equation for a graph that shifts down 9.

• y=|x|-9

• y=|x-9|

• y=-9|x|

• y=|x|+9

What is the transformation for the function: y=|x|+10 ?

• Shifted left 10

• Shifted right 10

• Shifted up 10

• Shifted down 10

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

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

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

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