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 3, minimum -1 and least positive period 240 degrees. Find a,b,c and describe how the graph is obtained from y=cos x.
Solution:
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Answer:\(a=2,\ b=\dfrac{3}{2},\ c=1\); \(T=240^\circ\); \(A=2\); \(y_{\mathrm{mid}}=1\). Horizontal scale factor \(\dfrac{2}{3}\); vertical scale factor \(2\); translate up \(1\).
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