which set of steps will translate (f(x)=6^{x}) to (g(x)=6^{x - 5}-7)?\nshift (f(x)=6^{x}) five units to the…

Explanation:

Step1: Recall horizontal - shift rule

For a function $y = f(x - h)$, the graph of $y = f(x)$ is shifted $h$ units to the right. In $g(x)=6^{x - 5}$, comparing with $f(x)=6^{x}$, we have $h = 5$. So, the graph of $f(x)=6^{x}$ is shifted 5 units to the right.

Step2: Recall vertical - shift rule

For a function $y=f(x)-k$, the graph of $y = f(x)$ is shifted $k$ units down. In $g(x)=6^{x - 5}-7$, comparing with $y = 6^{x - 5}$, we have $k = 7$. So, the graph of $y = 6^{x - 5}$ is shifted 7 units down.

Answer:

Shift $f(x)=6^{x}$ five units to the right and seven units down.