Question

How do you find the amplitude, phase shift and period of `y= 5sin(pi/2 * x)`?

Answer 1

Amplitude 5, period is 4 and there is no phase shift.

Explanation:

Compare with the standard equation y=A sin (Bx+C) +D. In this A is the amplitude, `(2pi)/B` is the period, C is the horizontal shift and D is the vertical shift.

All the required information can be figured out now. Amplitude is 5, period is `(2pi)/(pi/2)= 4` and there is no phase shift.