document.write( "Question 1202196: Determine the equation of a cosine function for the following graph of a sinusoidal function:
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Algebra.Com's Answer #836855 by ikleyn(52835) $\"\"$ $\"About$

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\n" ); document.write( "Determine the equation of a cosine function for the following graph of a sinusoidal function:
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document.write( "The function is sinusoidal.\r\n" );
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document.write( "The minimum value is -3.5; the maximum value is 1.5.\r\n" );
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document.write( "Hence, the midline is the arithmetic mean  y=  =  = -1,\r\n" );
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document.write( "and the amplitude is 1.5-(-1) = 2.5. \r\n" );
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document.write( "Next, the function has the maximum at x= 0; it means that the function's pattern \r\n" );
document.write( "is cosines without a phase shift.\r\n" );
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document.write( "The period, as it is seen from the plot, is 180 units, so the function can be written in the form\r\n" );
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document.write( "    y(x) = -1 + ,\r\n" );
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document.write( "or, which is the same,\r\n" );
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document.write( "    y(x) = -1 + .\r\n" );
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