Which equation represents the function f(x) = (1.6)x after it has been translated 5 units up and 9 units to the right?

A shift 9 units to the right replaces x with x − 9, and a shift 5 units up adds 5 to the function’s output. Thus the translated function is g(x) = (1.6)^(x − 9) + 5, which is choice C.

AI-written and checked against the verified answer.