Question

Given that

Answer 1

g(x) = f(x) + 9 shifts it up 9 units.

g(x) = f(x+2) shifts it left 2 units.

g(x) = -f(x) reflects it across the x-axis.

It looks like you may want

... g(x) = -(f(x+2) +9) . . . . . shifted up, then reflected

$g(x)=-\left(5^{(x+2)}+9\right)$