How does the graph of g of x is equal to 3 to the x th power minus 2 compare to the graph of f of x is equal to 3 to the x th power ?

Since f(x) = 3^x, we can write g(x) = f(x) − 2. Subtracting 2 from a function lowers every y-value by 2, so the graph shifts 2 units down. The correct choice is “a translation of f(x) 2 units down.”

AI-written and checked against the verified answer.