The equation for f and the graph of g are given. How do the period and amplitude of the functions compare?[tex]f(x) = 2 \cos( \frac{\pi}{2} x) [/tex]A. The amplitudes are the same, but the period of f is half as long as the period of g. B. The amplitudes are the same, but the period of f is twice as long as the period of g. C. The periods are the same, but the amplitude of f is half as great as the amplitude of g. D. The periods are the same, but the amplitude of f is twice as great as the amplitude of g.