# Transformation of functions

- Author:
- Oscar Chavez

- Topic:
- Functions

In this activity, you will find out how graphs of functions are transformed by a parameter.
In the applet below, is a function whose graph is red. Function , whose graph is green, will be defined as where is a positive number. Function , whose graph is blue, will be defined as where is a positive number.
Your job is to explain the effects that the coefficient has on the graphs. How are the graphs of and different from the graph of ?

- Click the checkbox for function
. - Move the slider (or click on the play button at the bottom) to change the value of
. - What happens when
? - What happens when
? - Describe the effect
has on the graph of the function. - Uncheck the checkbox for function
, Click the checkbox for function , and answer the same questions.