# Transformation of 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 ?

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