Answer:
C
Step-by-step explanation:
since g(x) has the exact same form of f(x), it is then clear that g(x) is just a "lifted" version of f(x).
we move a graph up by simply adding a constant to each and every result value of the original function.
this constant we can see at the vertex of the parabola.
the vertex of f(x) is (0, 0).
the vertex of g(x) is (0, 5).
so, g(x) is f(x) moved up by 5 units.
therefore, C, g(x) = f(x) + 5 = x² + 5 is the right answer.
