Which functions shows the function \( f(x)=3^{x} \) being translated 5 units down? \( f(x)=3^{x-5} \) \( f(x)=3^{x}+5 \) \( f(x)=3^{x+5} \) \( f(x)=3^{x}-5 \)

To translate the function \( f(x) = 3^x \) down by 5 units, you would subtract 5 from the function. This results in the equation \( f(x) = 3^x - 5 \). So, the correct answer is \( f(x) = 3^x - 5 \). When translating functions vertically, remember that subtracting a value moves the graph downward, while adding it moves it up! So if you ever want to go up or down the vertical graph, just play around with the plus or minus signs!