# Transformations of Parent Functions

- Author:
- Raquel Kelly Martinez, Eric Smith

Click on one of the parent functions and move the

**a**,**h**, and**k**sliders to see how**a**,**h**, and**k****the***transform***.***parent function*## Select your assigned function to investigate

## Answer the following questions:

**1.**What is the domain of your parent function? (

*Hint: Where does it begin and end from left to right?*) Your notation should look like one of the following: ( , ) or [ . ) or ( , ] or [ , ] domain example: y=x

^{2}domain is (-infinity,infinity)

^{}

^{ }

**2.**What is the range of your parent function? (

*Hint: Where does it begin and end from the bottom to the top?*) Your notation should look like one of the following: ( , ) or [ . ) or ( , ] or [ , ] example: y=x

^{2}domain is (0,infinity)

**3.**If your function undergoes transformations, what is a

**you can use to describe the transformations? In other words, what are the parameters you need to consider?**

*general formula***4.**Using the sliders above, find an equation for your parent function that shifts to the

**7 units and**

*right***4 units.**

*down***5.**Graph the equation.

**6.**What is the

**of the function after the transformation?**

*domain***7.**What is the

**of the function after the transformation?**

*range***8.**Does your equation have any

**? If so, where? How do you know?**

*asymptotes***Turn in your worksheet/answers when you are done.**