Help with Math, I am confused!?

Question

Let f(x) = x^2+sinx and let g(x) = __________ where g is the function whose graph has been obtained from that of f by shifting it 5 to the right and 9 up.

I thought I knew how to do this but I could not seem to find the right answer.

Answer 1

to shift to the right by 5, replace x with x-5

then ad 9 to shift up by 9

g(x) = (x-5)^2 + sin(x-5) + 9

so that becomes:

g(x) = x^2 - 10x + sin(x-5) + 34