ANSWER
D.
The minimum value of g(x) is greater than the minimum value of f(x).
EXPLANATION
It was given that;

has a vertex at

and opens upwards.
This means that f(x) is a minimum graph and hence have a minimum value of 8.
Also ,

When we compare this function to

We can see that,a=4, h=8 and y=9.
The vertex is

Since a>0, the graph opens upwards.
The graph has a minimum point which is (8,9) and hence the minimum value is 9.
We can see that, the minimum value of g(x) is greater than the minimum value of f(x).
Therefore the correct answer is D.