Question

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

Answer 1

It would be g(x) = (1.6)x-9+5

Answer 2

If the parent function $y=(1.6)^x$ is translated 5 units up and 9 units to the right, then you should subtract 9 from x and add 5 to the whole function. Thus,

1) translation the parent function  $y=(1.6)^x$ 9 units to the right gives you the function  $y=(1.6)^{x-9}.$

2) translation the function  $y=(1.6)^{x-9}$ 5 units up gives you the function  $y=(1.6)^{x-9}+5.$

Answer: correct choice is C