Transformations of Absolute Values

What is the parent function for absolute values?

• y = x
• y = |x|
• y = x²
• y = 2^x

What is the axis of symmetry for the function: y = |x-4|

• x = 4
• x = -4
• y = 4
• y = -4

Tags

CCSS.HSF-IF.C.7D

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 transformation for the function: y=|x-5| ?

• Shifts right 5
• Shifts left 5
• Shifts up 5
• Shifts down 5

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

• Shifted left 10
• Shifted right 10
• Shifted up 10
• Shifted down 10

What is the transformation for the function: y=1/2|x+4|

• Compressed and right 4
• Compressed and left 4
• Stretched and right 4
• Stretched and up 4

What is the transformation for: 
y=|x-1|-21

• Right 1 and down 21
• Right 1 and up 21
• Left 1 and up 21
• Left 1 and down 21

What is the transformation for:
y=-3|x+1|-3 ?

• Reflects, stretches, left 1, and down 3
• Reflects, compressed, right 1, and down 3
• Down 6 and right 1
• Stretched, right 1, and 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

Write the equation for a graph that shift left 13.

• y=|x-13|
• y=|x+13|
• y=|x|-13
• y=-13|x|