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

1 Answer
MrsRudolph221
Mar 28, 2016

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.
my screenshot

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