Identify the transformation.

$$f\left(x\right)=\sqrt[3]{x}-4$$  

Identify the transformation.

$$f\left(x\right)=x^2+4$$  

Identify the transformation.

$$f\left(x\right)=\left(x+4\right)^3$$  

Identify the transformation.

$$f\left(x\right)=2x^3$$  

Identify the transformation.

$$f\left(x\right)=\sqrt[]{2x}$$  

Identify the transformation.

$$f\left(x\right)=\left|\frac{1}{2}x\right|$$  

Identify the transformation.

$$f\left(x\right)=\frac{1}{2}\sqrt[3]{x}$$  

Identify the transformation.

$$f\left(x\right)=-\ \sqrt[]{x}$$  

Identify the transformation.

$$f\left(x\right)=\sqrt[3]{-x}$$  

Choose the equation that represents right 3, shrink vertically by 1/2, down 7

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

Describe the transformation from the parent graph

Describe the transformation from the parent absolute value function:

$$y=\left|x\right|-5$$  

Describe the transformation from the parent absolute value function:

$$y=-\left|x+4\right|-3$$  

* Select THREE answers *

Describe the transformation from the parent cubic function:

$$y=\left(x+6\right)^3-4$$  

* Select TWO answers *

What key features change if you shift the parent function, x², down 4?

You do NOT have to list out the changes.

What key features change if you reflect the parent function, x², across the x-axis?

You do NOT have to list out the changes.

Graph

Which graph matches:

-x+4 if x < 2

2x-6 if x ≥ 2

Which of the piecewise functions matches this graph?

f(x) = x

$$f\left(x\right)\ =\ x^2$$  

OR

$$y=x^2$$  

f(x) = IxI 

$$f\left(x\right)=x^3$$  

  $$f\left(x\right)\ =\ \sqrt[]{x}$$  

  $$f\left(x\right)\ =\ \sqrt[3]{x}$$  

Identify the transformation.

$$f\left(x\right)=\left(x-3\right)^2$$  

Describe the transformation from the parent graph

$$y=\left|x\right|$$ to $$y=\left|x+2\right|-1$$  

Identify the transformation.

$$f\left(x\right)=\frac{1}{3}x^2$$