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Use the graph of f to describe the transformation that yields the graph of g. f(x)=3^xg(x) = −3^x−2

Use the graph of f to describe the transformation that yields the graph of g. f(x-example-1
User Fabiano Tarlao
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1 Answer

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21 votes

Solution:

Given the functions:


\begin{gathered} f(x)=3^x \\ g(x)=-3^(x-2) \end{gathered}

The graph of f(x) is as shown below:

The graph of g(x) is as shown below:

Description:

In the above graph, we observe that in the transformation, the f(x) plot is reflected across the x-axis and shifted downwards by 2 units to obtain the g(x) plot.

Use the graph of f to describe the transformation that yields the graph of g. f(x-example-1
Use the graph of f to describe the transformation that yields the graph of g. f(x-example-2
User Dwlamb
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