1. The problem asks how to translate the function $f(x) = 3^x$ to $g(x) = 3^{x+1} + 4$. 2. Recall that adding inside the exponent, like $x+1$, shifts the graph horizontally. Specifically, $f(x+1)$ shifts the graph of $f(x)$ one unit to the left. 3. Adding a constant outside the function, like $+4$, shifts the graph vertically. So $f(x) + 4$ shifts the graph up by 4 units. 4. Therefore, $g(x) = 3^{x+1} + 4$ is the graph of $3^x$ shifted one unit to the left and four units up. 5. The correct translation is: shift $f(x) = 3^x$ one unit to the left and four units up.