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How to graph sinusoids
by Bhavi
How to graph Sinusoids
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Standard form of sinusoid: y = A sin(B(x-C)) + D
Steps to graph sinusoid are as follows:
1)Draw the center line of the graph by graphing the horizontal line, y = D.
2)Using the amplitude, A, draw two horizontal lines, y = D + A and y = D – A. The sinusoid's maxima will lie on y = D + A and its minima will lie on y = D - A.
3)Determine the period of the curve using B. Period= 2?/B
4)Plot the point (C,D). At this point graph of the
sinusoidal function will cross the mean line y = D on its way up from a minima to a maxima. This is not the only place where the graph crosses the mean line; it will also cross at the points obtained from (C,D) by horizontally shifting by any integer multiple of 1/2B.
5)Finally, midway between (C,D) and (C+1/2B,D) there will be a maxima. Likewise, midway between(C+1/2B,D) and (C+B,D) there will be a minima . It is now possible to roughly sketch the graph on the domain C<=x<=C+B by connecting the points described.
by Winpossible
Apr 14, 10 04:13AM PST
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