document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=234110>Question 234110</A>: <I><SPAN STYLE=\"word-break: break-all;\"> graph y= 2sin(2x - pi) on the interval 0 <= x <= 2pi </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #172674 by </B><A HREF=/tutors/aboutme.mpl?userid=nyc_function><B>nyc_function(2741)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nyc_function><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/cgi-bin/show-face.mpl?user=nyc_function><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=172674\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Steps to follow:\r<BR>\n" );
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document.write( "1-find altitude, period and phase shift\r<BR>\n" );
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document.write( "2-On the xy-plane, the period will reveal where to start and end your graph for one cycle\r<BR>\n" );
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document.write( "Do you see the number 2 in front of the word sin?  That is your altitide.\r<BR>\n" );
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document.write( "This means the graph will go up 2 units from the origin and down 2 units from the origin on the y-axis.\r<BR>\n" );
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document.write( "To find the period, use P = 2pi divide by the coefficient of x.<BR>\n" );
document.write( "The coefficient of x (look inside the parentheses is 2).  See it?\r<BR>\n" );
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document.write( "So, P = 2pi/2 = pi\r<BR>\n" );
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document.write( "Your period for this trig function is pi.<BR>\n" );
document.write( "This means that the graph of your trig function will repeat itself every pi units without end to the left and right of the origin on the x-axis.\r<BR>\n" );
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document.write( "To find the phase shift, set (2x - pi) between 0 and 2pi and solve for x.\r<BR>\n" );
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document.write( "0  &#8804; 2x - pi  &#8804; 2pi\r<BR>\n" );
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document.write( "After doing the math, we find out that the phase shift is pi/2.\r<BR>\n" );
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document.write( "You now have enough information to graph your trig function.\r<BR>\n" );
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document.write( "If this does not make sense, write back.\r<BR>\n" );
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