How do you graph #y=2+3 \sin(2(x-1))#?

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Answer 1 · 2014-11-23T01:06:36

Step 1: Sketch the graph of #y=sin x#.

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Step 2: Horizontally shrink the graph in Step 1 by a factor of 2.

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Step 3: Vertically stretch the graph in Step 2 by a factor of 3.

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Step 4: Shift the graph in Step 3 right by 1 unit.

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Step 5: Shift the graph in Step 4 up by 2 units.

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The above is the graph of #y=2+3sin(2(x-1))#.

I hope that this was helpful.