Find the amplitude, period, and phase shift of y=2sin(c-pi)+3

Answer 1

The given equation is y = 2sin(c - pi) + 3.

Amplitude:
The coefficient of the sine function determines the amplitude. In this case, the coefficient is 2, so the amplitude is 2.

Period:
The coefficient in front of the angle term (in this case, c - pi) determines the period. Since there is no coefficient explicitly given, it is assumed to be 1. Therefore, the period is 2pi.

Phase Shift:
The term inside the sine function determines the phase shift. In this case, it is c - pi. To find the phase shift, set c - pi equal to zero and solve for c.

c - pi = 0
c = pi

Since c represents the phase shift, the phase shift is pi.

So, the amplitude of the given function is 2, the period is 2pi, and the phase shift is pi.