Scaling and vertical translation of sin

Scaling and vertical translation of sin

5 marks
TGM Original
For y=3sin(12x)+2, where x is measured in radians, state the least positive period, the amplitude if one exists and the midline. Describe its relationship to y=sin x.

Solution:

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Answer:\(T=4 \pi\); \(A=3\); \(y_{\mathrm{mid}}=2\). Horizontal scale factor \(2\); vertical scale factor \(3\); translate up \(2\).

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