Graph each function over a two-period interval. See Example 4.

y = -3 + 2 sin x

Graph each function over a two-period interval. See Example 4.

y = -1 - 2 cos 5x

Graph each function over a two-period interval.

y = 1 - 2 cos ((1/2)x)

Graph each function over a two-period interval.

y = -2 + (1/2) sin 3x

For each function, give the amplitude, period, vertical translation, and phase shift, as applicable.

y = 1 + 2 sin ¼ x

Determine the amplitude of each function. Then graph the function and y = sin x in the same rectangular coordinate system for 0 ≤ x ≤ 2π. y = -3 sin x

Graph y = 1/2 sin x + 2cos x, 0 ≤ x ≤ 2π.

Determine the amplitude and period of each function. Then graph one period of the function. y = 3 sin (1/2) x