Problem 49 of 7
Graph sine function y = sin(x + pi/3) using amplitude, period, midline, and phase shift.
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map trig parameters to graph features.
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Map sine parameters to graph features.
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Solution
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1. Write the sine function in transformed form A sin(B(x-C))+D.
2. Compute amplitude |A|, period 2pi/|B|, midline y=D, and phase C.
3. Plot one cycle from the shifted sine anchors.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Using 2pi times B instead of 2pi divided by |B|.