Transformations of Absolute Values

Which are true about the b value in y=a|b(x-h)|+k

• -b: reflects over y-axis

• b is a horizontal stretch or compression

• b is a vertical stretch or compression

• -b: reflects over x-axis

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:
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

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|+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

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|