Transformations of the Absolute Value Function

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

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

• Left 4

• Right 4

• Up 4

• Down 4

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

y = I 1/2x |

• horizontal compression factor 1/2

• Right 1/2

• horizontal stretch factor 1/2

• Down 1/2

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

• horizontally stretched

• vertically compressed

• up 3 units

• vertically stretched

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| ?

• Shifted right 1

• Shifted down 1

• reflected across the x-axis

• reflected across the y-axis

y = |x - 3| makes the graph slide . . .

• left 3

• right 3

• up 3

• down 3

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

• horizontal stretch

• reflection across the x-axis

• reflection across the y-axis

• vertical compression

Describe the transformation from the parent function

y = |x|?

y = |3x|

• Vertical Compression

• Vertical Stretch

• Horizontal compression

• Horizontal Stretch

Describe the transformation of the equation below from the absolute value parent function.

• Left 2, up 4

• Right 2, up 4

• Left 2, down 4

• Right 2, down 4