Question

If f(x) is a third degree polynomial function and g(x) = f(2x) + 2, which of the following must be true?

f(x) and g(x) have the same x-intercepts
f(x) and g(x) have the same y-intercept.
f(x) and g(x) have the same number of zeros.
f(0) = g(0) - 2