2.6 Transformations of Parent Functions

Match the following:

Describe the transformation on the parent function: $$f\left(x\right)\ =\ 2\left|x-3\right|-2$$ ​ (a)   ​ (b)   ​ (c)  

Describe the transformation on the parent function: $$f\left(x\right)\ =\ \frac{1}{2}\left(x+3\right)^2$$ ​ ​ (a)   ​ (b)  

What is the equation of the parent function shown in the graph?

Transform the quadratic parent function to show that there is a vertical translation up 4 units, a horizontal translation left 2 units, and vertical reflection.

(Make sure one of the points is on the vertex, and the other a zero.)

Describe the transformation from the parent cubic function:

$$y=-x^3+3$$  

* Select TWO answers *

Describe the transformation from the parent absolute value function:

$$y=-\left|x+4\right|-3$$  

* Select THREE answers *