A general equation for the sine function is y = A sin Bx. The A and B are numbers that affect the amplitude and period of the basic sine function, respectively.

The graph of the function y = A sin Bx has an amplitude of A and a period of

The amplitude, A, is the distance measured from the y-value of a horizontal line drawn through the middle of the graph (or the average value) to the y-value of the highest point of the sine curve, and B is the number of times the sine curve repeats itself within 2π, or 360 degrees.

By keeping these two values in mind, you can quickly sketch the graph of a sine curve — or picture it in your head. For example, when graphing y = 4sin 2x, you would follow these steps:
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