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 transform the 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=x2 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=x2 domain is (0,infinity)
3. If your function undergoes transformations, what is a general formula you can use to describe the transformations? In other words, what are the parameters you need to consider?
4. Using the sliders above, find an equation for your parent function that shifts to the right 7 units and down 4 units.
5. Graph the equation.
6. What is the domain of the function after the transformation?
7. What is the range of the function after the transformation?
8. Does your equation have any asymptotes? If so, where? How do you know?
Turn in your worksheet/answers when you are done.