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Multiply by a: Transformations of Exponential Functions

This applet investigates simple Exponential Functions where the base number is two or three. Move the slider to change the value of a, the coefficient in front of the exponential function. You can see the effect of this by comparing the blue graph to the graph of the simple exponential function which is red. Use the buttons to show the table - make sure you understand how the graph changes as you change a. Turn "Trace On" - you will then see copies of the graph as you move the slider.
Examine the values in the table as you move the slider. What effect does changing a have on the graph? What effect does changing the base number have?