document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=867602>Question 867602</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please explain how to Find the amplitude, period, vertical translation, and any phase shift for this function:\r<BR>\n" );
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document.write( "y = (-1/2)sin((1/2)x+pi) </SPAN>\n" );
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document.write( "y = (-1/2)sin((1/2)x+pi)<BR>\n" );
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document.write( "Form of equation for sin function: y=-Asin(Bx-C)+D, A=amplitude, period=2&#960;/B, phase shift=C/B, D=vertical shift.<BR>\n" );
document.write( "For given sin function:y = (-1/2)sin((1/2)x+pi)<BR>\n" );
document.write( "amplitude=1/2<BR>\n" );
document.write( "B=1/2<BR>\n" );
document.write( "period=2&#960;/B=2&#960;/(1/2)=4&#960;<BR>\n" );
document.write( "C=&#960;<BR>\n" );
document.write( "phase shift=C/B=&#960;/(1/2)=2&#960;<BR>\n" );
document.write( "translation: curve is reflected about the x axis<BR>\n" );
document.write( "vertical shift: none </SPAN>\n" );
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