(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I have to graph this function without a calculator, and I'm not sure how to scale the x axis.

y = 2 - sin(3x - ∏/5)

2. Relevant equations

y = Asin(Bx + C)

Period = 2∏/B

Phase Shift = -C/B

3. The attempt at a solution

I know that the graph will be reflected across the x axis

Amplitude: 1

Period: 2∏/3

Period divided by four = ∏/6

Phase Shift: (∏/5)/3 = ∏/15

My professor had told us to graph with a phase shift, you add the period/4 four times like this:

∏/15 + ∏/6 = 7∏/30

7∏/30 + ∏/6 = 12∏/30 or 2∏/5

12∏/30 + ∏/6 = 17∏/30

17∏/30 + ∏/6 = 21∏/30 or 11∏/15

I'm supposed to start the graph at the phase shift, ∏/15, but I don't know how to scale the rest of the x-axis. How do I get to 7∏/30 on the numberline from ∏/15? Gosh I feel so dumb ):

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# Help Graphing Sine Function

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