If f(x) is a third degree polynomial function and g(x) = f(2x) + 2, which of the following MUST be true?
F f(x) and g(x) have the same x-intercepts.
G f(x) and g(x) have the same y-intercepts.
H f(x) and g(x) have the same number of zeros.
J f(0)=g(0)−2