document.write( "Question 1026276: What is the amplitude of g(x)\r
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Algebra.Com's Answer #641501 by Theo(13342)\"\" \"About 
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the high value of g(x) = 5.
\n" ); document.write( "the low value of g(x) = -1.
\n" ); document.write( "the amplitude is therefore equal to 6/2 = 3.
\n" ); document.write( "since f(x) = cos(x), and g(x) appears to have the same shape and the same period, with the exception that it's range is 3 * as much and it's midpoint is 2 units higher, then the equation of g(x) is probably 3 * cos(x) + 2.\r
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\n" ); document.write( "\n" ); document.write( "that would give it an amplitude of 3 and it's midpoint would be at y = 2.
\n" ); document.write( "the midpoint is at y = 2 because 5 - 3 = 2 and -1 + 3 = 2.\r
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\n" ); document.write( "\n" ); document.write( "in other words, the midpoint is halfway between the high value and the low value of the function.\r
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\n" ); document.write( "\n" ); document.write( "the graph of both equations is shown below:\r
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\n" ); document.write( "\n" ); document.write( "the que4stion was what is the amplitude of g(x).\r
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\n" ); document.write( "\n" ); document.write( "the answer is that the amplitude is 3.\r
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