document.write( "Question 1010921: Analise is having trouble with graphing sine functions. Explain to Analise, in your own words, how to graph y= 3sin 2x. \n" ); document.write( "
Algebra.Com's Answer #626488 by Edwin McCravy(20060)\"\" \"About 
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document.write( "To draw the basic period of ANY graph of \r\n" );
document.write( "an equation of either the form\r\n" );
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document.write( "y = Asin(Bx)  or  y = Acos(Bx), \r\n" );
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document.write( "ALWAYS begin with this: \r\n" );
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document.write( "Since our graph is of y = 3sin(2x), A=3 and B=2, we calculate\r\n" );
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document.write( "|A|=3, -|A|=-3, \"pi%2F%282b%29=pi%2F%282%2A2%29=pi%2F4\", \"pi%2Fb=pi%2F2\", \"3pi%2F%282b%29=3pi%2F%282%2A2%29=3pi%2F4\", \"2pi%2Fb=2pi%2F2=pi\".\r\n" );
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document.write( "Therefore we begin with this:\r\n" );
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document.write( "Next we decide which of the 4 types of graphs we have:\r\n" );
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document.write( "1. All graphs of the form y = Asin(Bx) where\r\n" );
document.write( "A is POSITIVE and B is positive look like this:\r\n" );
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document.write( "2. All graphs of the form y = Asin(Bx) where\r\n" );
document.write( "A is NEGATIVE and B is positive look like this:\r\n" );
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document.write( "3. All graphs of the form y = Acos(Bx) where\r\n" );
document.write( "A is POSITIVE and B is positive look like this:\r\n" );
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document.write( "4. All graphs of the form y = Acos(Bx) where\r\n" );
document.write( "A is NEGATIVE and B is positive look like this:\r\n" );
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document.write( "Our graph is of y= 3sin(2x). which is of the \r\n" );
document.write( "form y = Asin(Bx) where A is POSITIVE and B is positive,\r\n" );
document.write( "our graph is type 1 above, so the answer is:\r\n" );
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document.write( "However we should realize that this graph and all sine and cosine\r\n" );
document.write( "graphs are not just of one period, as we have drawn here, but they\r\n" );
document.write( "all continue indefinitely forever both to the left and right, like this:\r\n" );
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document.write( "Edwin
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