Determine whether the statement is true or false. Justify your answer.
1. The graph of g(x) = sin(x + 2π) is a translation of the graph of f (x) = sin x exactly one period to the right, and the two graphs look identical.
2. The function y = 1/2 cos 2x has an amplitude that is twice that of the function y = cos x.
3. The graph of y = −cos x is a reflection of the graph of y = sin[x + (π/2)] in the x-axis.