Transformations of the Absolute Value Function

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)

What is the vertex of the following function?

• (2,5)

• (-1,5)

• (-4,-2)

• (-2,5)

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

Determine the transformation

• Left 5, up 1

• Left 5, down 1

• Right 5, up 1

• Right 5, down 1

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