1. The problem asks how to translate the function $f(x) = 6^x$ to $g(x) = 6^{x - 5} - 7$. 2. Recall that for exponential functions, $f(x - h)$ shifts the graph horizontally by $h$ units: if $h$ is positive, the shift is to the right; if negative, to the left. 3. Also, $f(x) - k$ shifts the graph vertically by $k$ units: if $k$ is positive, the shift is down; if negative, up. 4. In $g(x) = 6^{x - 5} - 7$, the exponent $x - 5$ means a horizontal shift of 5 units to the right. 5. The $-7$ outside the exponential means a vertical shift of 7 units down. 6. Therefore, the correct translation is shifting $f(x) = 6^x$ five units to the right and seven units down. Final answer: Shift $f(x) = 6^x$ five units to the right and seven units down.