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