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Given the function f(x) = 32 determine the equation of a new function, g(x), that is reflected over the x-axis and then shifted 2 units up.

Given the function f(x) = 32 determine the equation of a new function, g(x), that-example-1

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f(x)=3^x

Reflect over the x-axis:


-f(x)=-3^x

Shift 2 units up:


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

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