"4" CHANGES IN GRAPHING Y = SIN (X)
(Susan M. Hewitt)
This example has 4 variations in the graph of y = sin(x).
All of the constants have different values in the following general equation:
y = a sin (b ( x - s )) + v
In the example below,
a = 2, b = 3, s = 1.57 radians (or 90 degrees) , and v = -1.
So, the the new curve has been vertically stretched by a factor of 2.
Its period had been horizontally shrunk from 2 pi (or 360 degrees) to (2 pi / 3) (or 120 degrees.)
It has been horizontally shifted 1.57 radians (or pi/2 or 90 degrees) to the right.
It has been vertically shifted 1 unit down from the graph of y = sin(x).
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Last Modified on March 11,1996
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shewitt@nmu.edu
Copyright 1996 Susan Hewitt