Question

How do you sketch `y = 3 sin (2x-2)`?

Answer 1

When written in a different form, `y = 3*sin(2(x-1))+0`, I would say that the amplitude is 3, the period is `pi`, and the phase shift is 1.

Explanation:

Notice that the sine wave completes one full cycle between (1,0) and (4.14, 0). That is a period of `pi`.

The amplitude is 3 units.

The phase shift is right 1 unit, as you can see from (1,0) being a "starting" point for a sine wave.