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.