document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=546730>Question 546730</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the phase shift?\r<BR>\n" );
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document.write( "y=9sin(5x+pi/5)\r<BR>\n" );
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document.write( "i thought it was pi/5 but my teacher said it was wrong </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #356197 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=356197\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the phase shift? <BR>\n" );
document.write( "y=9sin(5x+pi/5) <BR>\n" );
document.write( "i thought it was pi/5 but my teacher said it was wrong<BR>\n" );
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document.write( "Equation for sin function: y=Asin(Bx-C), A=amplitude, period=2&#960;/B, phase-shift=B/C<BR>\n" );
document.write( "For given problem:<BR>\n" );
document.write( "B=5<BR>\n" );
document.write( "C=&#960;/5<BR>\n" );
document.write( "So phase shift=C/B=(&#960;/5)/5=&#960;/25 (shift to the left)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "An alternate way of finding phase shift is to set (5x+&#960;/5)=0, then solve for x<BR>\n" );
document.write( "5x+&#960;/5=0<BR>\n" );
document.write( "5x=-&#960;/5<BR>\n" );
document.write( "x=-&#960;/25  (shift to the left)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Phase-shift moves the entire curve x units to the right or left on the x-axis </SPAN>\n" );
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