Scaling and vertical translation of cos

Scaling and vertical translation of cos

5 marks
TGM Original
For y=4cos(-3x)-1, where x is measured in degrees, state the least positive period, the amplitude if one exists and the midline. Describe its relationship to y=cos x.

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Answer:\(T=120^\circ\); \(A=4\); \(y_{\mathrm{mid}}=-1\). Reflect in the y-axis; Horizontal scale factor \(\dfrac{1}{3}\); vertical scale factor \(4\); translate down \(1\).

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