Answer: Option C

Explanation:
If we have a function f(x) and we want to move its graph vertically then we apply the transformation:

So:
If
the function g(x) will be the function f(x) displaced k units up
If
the function g(x) will be the function f(x) displaced k units down.
In this case we know that the graph of f(x) moves 5 units up.
then
and

Therefore

