Question

How do you determine the amplitude, period, phase shift and vertical shift for the function `y = 3sin(2x - pi/2) + 1`?

Answer 1

You can "read" these information directly from your function as:
`y=`Amplitude`*sin(kx-`phase shift)+ vertical shift
So
Amplitude=3;
`Period=(2pi)/k` (where, in your case, `k=2`);
Phase shift`=-pi/2`;
Vertical shift`=1`;