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 -9 and least positive period pi radians. Find a,b,c and describe how the graph is obtained from y=sin x.
Solution:
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Answer:\(a=5,\ b=2,\ c=-4\); \(T=\pi\); \(A=5\); \(y_{\mathrm{mid}}=-4\). Horizontal scale factor \(\dfrac{1}{2}\); vertical scale factor \(5\); translate down \(4\).
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