The graph for f(x) = sin x is a sinusoidal graph with the origin as the middle point and the value increases up to the maximum point before going down crossing the x-axis and reaching the minimum point before increasing again until it crosses the x-axis. The graph continues as a wave on both sides indefinitely. f(x) = 3 sin 4x has an amplitude of 3 or the highest point is 3 and a period of Period = 2π/4 = π/2 f(x) = 3 sin 4x + 2 the graph is shifted 2 points upward.
