State the amplitude period and phase shift and then sketch o

State the amplitude, period and phase shift, and then sketch one complete cycle of the graph. Label all maximum, minimum and x-intercepts. y = 3cos(2x + pi) y = 2 sin(4x -pi) y = -4 sin(x-pi/2)

Solution

(a) y=3cos(2x+)

Amplitude=3

Phase shift is to the left

Period is 2

(b)

Amplitude is 2

Phase shift is to the right

Period is 2

(C)Amplitude is -4

Phase shift is /2 to right

Period is 2

Thank you