Function f is modeled by the equation f(x) = -x(x-1)^2 + 4. Function g is created by moving the vertex of function f 4 units to the right and 2 units down. Which statement is true about the zeros of function g?

A. The zeros of function g are the same as the zeros of function f.

B. The zeros of function g are both greater than the zeros of function f.

C. The zeros of function g are both less than the zeros of function f.

D. The zeros of function g are both between the zeros of function f.