Parameters from extremes and a period of sin
Parameters from extremes and a period of sin
5 marks
TGM Original
The curve y=asin(bx)+c, with a,b>0, has maximum 1, minimum -7 and least positive period 2160 degrees. Find a,b,c and describe how the graph is obtained from y=sin x.
Solution:
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Answer:\(a=4,\ b=\dfrac{1}{6},\ c=-3\); \(T=2160^\circ\); \(A=4\); \(y_{\mathrm{mid}}=-3\). Horizontal scale factor \(6\); vertical scale factor \(4\); translate down \(3\).
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