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Transformations of Exponential Functions

Transformations of Exponential Functions 1.12 - Solution

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We want to graph the given function as a transformation of the function Looking at the function, we can see that it has been horizontally shrinked by a factor of and translated units up. Let's show the transformations one at a time.

Horizontal Shrink

If we multiply the variable in by we obtain a horizontal shrink by a factor of The resulting function is

Vertical Translation

Finally, we will consider the function This is a vertical translation of up by units.