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Transformations of Exponential Functions

Transformations of Exponential Functions 1.2 - Solution

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We want to graph the given function g(x)=4x8g(x)=4^{x}-8 as a transformation of the function f(x)=4x.f(x)=4^x. g(x)=4x8g(x)=4x+(-8)\begin{gathered} g(x)=4^{x}-8 \quad \Leftrightarrow \quad g(x)=4^{x}+({\color{#0000FF}{\text{-} 8}}) \end{gathered} Looking at the function, we can see that it has been translated 8{\color{#0000FF}{8}} units down.