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
