Parent Graphs of Functions

Identify the parent function that represents the following graph

Identify the parent function that represents the following graph

Which parent function matches the graph?

Which parent function matches the graph?

• Shifts left 5

• Shifts right 5

• Shifts up 5

• Shifts down 5

What shifts have occurred?

• left 1, up 5

• left 1, down 5

• right 1, down 5

• right 1, up 5

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

• reflected over x axis, stretched by 2, right 3, up 3

• reflected over x axis, stretched by 2, left 3 up 3.

• reflected over x axis, shrunk by 2, right 3, up 3

• reflected over the x axis, shrunk by 2, left 3, up 3

• Stretches by 3, Shifts left 8

• Stretches by 3, Shifts right 8

• Stretches by 3, Shifts up 8

• Stretches by 3, Shifts down 8

Describe the transformation that is applied to the parent function.  f(x)=\frac{1}{2}\left|x-1\right|-1

• 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