Answer: k = -3
Explanation:
If we have a function f(x) defined in the real numbers we can transform it by moving it vertically doing

If k is greater than zero the graph of f(x) will move k units up. If k is less than zero the graph of f(x) will move k units down.
In the same way if you make the transformation
then the graph of f(x) will move h units to the right if
and move h units to the left if
.
In this problem we have to:

then we see that the graph of g(x) is displaced 3 units down. This means that

Also the graph of g(x) is equal to the graph of f(x) displaced 5 units to the right so that
