Sketch one period of the following function Indicate the amp

Sketch one period of the following function. Indicate the amplitude, period, and phase shift and label the maximum point, minimum point, initial point, midpoint, and final point. y = -4cos(x/3 + pi/6).

Solution

y = -4*cos[(x/3) + (pi/6)]

Amplitude = 4

Period = 6pi

Phase shift = pi/2 to the left

Maximum point = 5pi/2

Minimum point = -pi/2

Initial point = 0