# Discovery Activity for Families of Functions

- Author:
- Michelle

- Topic:
- Functions

Select a function then use the sliders to see how a, h and k change the parent function into a kid function. Pay attention to if a, h and/or k is positive, negative, greater than zero or less than zero etc... (Hint: You may want to change only one value at a time.)

When you feel you have an idea of what a, h and k do to our parent functions, answer the questions below.
1) Where in the function does the value of a appear to be located?
2) The value of a, does three different things to our functions. What are they and for what values of a, do they occur?
3) Where in the function does the value of h appear to be located?
4) The value of h can move our graph in two ways. Which ways does it move our graph, and for what values of h causes these movements?
5) Where in the function does the value of k appear to be located?
6) The value of k can move our graph in two ways. Which ways does it move our graph, and for what values of k causes these movements?