Parameters from extremes and a period of cos
Parameters from extremes and a period of cos
5 marks
TGM Original
The curve y=acos(bx)+c, with a,b>0, has maximum 5, minimum -1 and least positive period 16 pi radians. Find a,b,c and describe how the graph is obtained from y=cos x.
Solution:
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Answer:\(a=3,\ b=\dfrac{1}{8},\ c=2\); \(T=16 \pi\); \(A=3\); \(y_{\mathrm{mid}}=2\). Horizontal scale factor \(8\); vertical scale factor \(3\); translate up \(2\).
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