Which statement explains the difference between the graphs of f(x) = 4x^2 and g(x) = -8x^2 ?

A) The graph of g(x) is obtained by flipping f(x) over the y-axis and stretching vertically by a factor of 2.

B) The graph of g(x) is obtained by flipping f(x) over the x-axis and compressing vertically by a factor of 2.

C) The graph of g(x) is obtained by flipping f(x) over the x-axis and stretching vertically by a factor of 2.

D) The graph of f(x) is obtained by flipping g(x) over the y-axis and compressing vertically by a factor of 2.