Describe the change in the graph of the parabola f(x) when it transforms into g(x) = −3f(x).

A. The parabola g(x) will open in the opposite direction of f(x), and the parabola will be narrower than f(x).

B. The parabola g(x) will open in the same direction of f(x), and the parabola will be narrower than f(x).

C. The parabola g(x) will open in the opposite direction of f(x), and the parabola will be wider than f(x).

D. The parabola g(x) will open in the same direction of f(x), and the parabola will be wider than f(x).