Question

y= 6 sin (9 x - pie)

I want to know how to find the :
Amplitude , Period , and Phase shift

Answer 1

The formula for a wave

\[x(t) = A\,\sin(\omega t + \alpha) \]

A = amplitude
w = angular frequency
alfa = phase

So you can deduce two of the three values you want directly by looking at the formula you have. Now all you have to do is use the angular frequency to calculate the period.

period T = 2 pi / w

Answer 2

Do you know what to do now?

Answer 3

the x = t in this case, so you can ignore it.