Transformations of Exponential and Absolute Value Functions

What type of function is shown?

• linear

• quadratic

• square root

• absolute value

Name the parent function. 

• constant

• square root

• linear

• absolute value

Describe the transformation that is applied to the parent function. 
f(x) =  3 Ix+8I

• Stretches by 3, Shifts left 8

• Stretches by 3, Shifts right 8

• Stretches by 3, Shifts up 8

• Stretches by 3, Shifts down 8

State the RANGE of the absolute value function given the following transformations:

• y = |x - 2| - 7 

• y = |x + 2| + 7 

• y = -|x - 2| + 7

• y = -|x - 2| - 7

• Shrinks by (1/2), Shifts left 1, down 1

• Shrinks by (1/2), Shifts right 1, down 1

• Shrinks by (1/2), Shifts left 1, up 1

• Shrinks by (1/2), Shifts right 1, up 1

Which parent function matches the graph?

Write the equation that results if the parent absolute value function is shifted right 15 units, down 3 units, and reflected vertically.

Determine the transformation 

• left 3, up 2

• right 3, up 2

• left 3, down 2

• right 3, down 2

Determine the transformation

• down 2

• flip, down 2

• flip, left 2

• left 2

Determine the vertex for each absolute value function

• (-3, -1)

• (-3, 1)

• (3, -1)

• (3, 1)