document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=868187>Question 868187</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please explain the steps to Graph the function over a two period interval:\r<BR>\n" );
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document.write( "y = 3sin(x-((3pi)/2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #523385 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=523385\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First find the period.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=2pi%2F1=2pi ALIGN=MIDDLE  ALT=\"P=2pi%2F1=2pi\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So two periods would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4pi ALIGN=MIDDLE  ALT=\"4pi\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Break up the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4pi ALIGN=MIDDLE  ALT=\"4pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > into equally spaced points. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dx=pi%2F16 ALIGN=MIDDLE  ALT=\"dx=pi%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Start at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and step by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dx ALIGN=MIDDLE  ALT=\"dx\"   DISABLED_style= \"max-width:90%; height:auto;\" > until you reach <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4pi ALIGN=MIDDLE  ALT=\"x=4pi\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Calculate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3sin%28x-%283%2F2%29pi%29%29 ALIGN=MIDDLE  ALT=\"y=3sin%28x-%283%2F2%29pi%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > at each point.<BR>\n" );
document.write( "0.00	3.00<BR>\n" );
document.write( "0.20	2.94<BR>\n" );
document.write( "0.39	2.77<BR>\n" );
document.write( "0.59	2.49<BR>\n" );
document.write( "0.79	2.12<BR>\n" );
document.write( "0.98	1.67<BR>\n" );
document.write( "1.18	1.15<BR>\n" );
document.write( "1.37	0.59<BR>\n" );
document.write( "1.57	0.00<BR>\n" );
document.write( "1.77	-0.59<BR>\n" );
document.write( "1.96	-1.15<BR>\n" );
document.write( "2.16	-1.67<BR>\n" );
document.write( "2.36	-2.12<BR>\n" );
document.write( "2.55	-2.49<BR>\n" );
document.write( "2.75	-2.77<BR>\n" );
document.write( "2.95	-2.94<BR>\n" );
document.write( "3.14	-3.00<BR>\n" );
document.write( "3.34	-2.94<BR>\n" );
document.write( "3.53	-2.77<BR>\n" );
document.write( "3.73	-2.49<BR>\n" );
document.write( "3.93	-2.12<BR>\n" );
document.write( "4.12	-1.67<BR>\n" );
document.write( "4.32	-1.15<BR>\n" );
document.write( "4.52	-0.59<BR>\n" );
document.write( "4.71	0.00<BR>\n" );
document.write( "4.91	0.59<BR>\n" );
document.write( "5.11	1.15<BR>\n" );
document.write( "5.30	1.67<BR>\n" );
document.write( "5.50	2.12<BR>\n" );
document.write( "5.69	2.49<BR>\n" );
document.write( "5.89	2.77<BR>\n" );
document.write( "6.09	2.94<BR>\n" );
document.write( "6.28	3.00<BR>\n" );
document.write( "6.48	2.94<BR>\n" );
document.write( "6.68	2.77<BR>\n" );
document.write( "6.87	2.49<BR>\n" );
document.write( "7.07	2.12<BR>\n" );
document.write( "7.26	1.67<BR>\n" );
document.write( "7.46	1.15<BR>\n" );
document.write( "7.66	0.59<BR>\n" );
document.write( "7.85	0.00<BR>\n" );
document.write( "8.05	-0.59<BR>\n" );
document.write( "8.25	-1.15<BR>\n" );
document.write( "8.44	-1.67<BR>\n" );
document.write( "8.64	-2.12<BR>\n" );
document.write( "8.84	-2.49<BR>\n" );
document.write( "9.03	-2.77<BR>\n" );
document.write( "9.23	-2.94<BR>\n" );
document.write( "9.42	-3.00<BR>\n" );
document.write( "9.62	-2.94<BR>\n" );
document.write( "9.82	-2.77<BR>\n" );
document.write( "10.01	-2.49<BR>\n" );
document.write( "10.21	-2.12<BR>\n" );
document.write( "10.41	-1.67<BR>\n" );
document.write( "10.60	-1.15<BR>\n" );
document.write( "10.80	-0.59<BR>\n" );
document.write( "11.00	0.00<BR>\n" );
document.write( "11.19	0.59<BR>\n" );
document.write( "11.39	1.15<BR>\n" );
document.write( "11.58	1.67<BR>\n" );
document.write( "11.78	2.12<BR>\n" );
document.write( "11.98	2.49<BR>\n" );
document.write( "12.17	2.77<BR>\n" );
document.write( "12.37	2.94<BR>\n" );
document.write( "12.57	3.00<BR>\n" );
document.write( "Then plot those points.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-2%2C14%2C-4%2C4%2Cgrid%281%29%2C%0D%0Acircle%280.00%2C%093.00%2C0.2%29%2C%0D%0Acircle%280.20%2C%092.94%2C0.2%29%2C%0D%0Acircle%280.39%2C%092.77%2C0.2%29%2C%0D%0Acircle%280.59%2C%092.49%2C0.2%29%2C%0D%0Acircle%280.79%2C%092.12%2C0.2%29%2C%0D%0Acircle%280.98%2C%091.67%2C0.2%29%2C%0D%0Acircle%281.18%2C%091.15%2C0.2%29%2C%0D%0Acircle%281.37%2C%090.59%2C0.2%29%2C%0D%0Acircle%281.57%2C%090.00%2C0.2%29%2C%0D%0Acircle%281.77%2C%09-0.59%2C0.2%29%2C%0D%0Acircle%281.96%2C%09-1.15%2C0.2%29%2C%0D%0Acircle%282.16%2C%09-1.67%2C0.2%29%2C%0D%0Acircle%282.36%2C%09-2.12%2C0.2%29%2C%0D%0Acircle%282.55%2C%09-2.49%2C0.2%29%2C%0D%0Acircle%282.75%2C%09-2.77%2C0.2%29%2C%0D%0Acircle%282.95%2C%09-2.94%2C0.2%29%2C%0D%0Acircle%283.14%2C%09-3.00%2C0.2%29%2C%0D%0Acircle%283.34%2C%09-2.94%2C0.2%29%2C%0D%0Acircle%283.53%2C%09-2.77%2C0.2%29%2C%0D%0Acircle%283.73%2C%09-2.49%2C0.2%29%2C%0D%0Acircle%283.93%2C%09-2.12%2C0.2%29%2C%0D%0Acircle%284.12%2C%09-1.67%2C0.2%29%2C%0D%0Acircle%284.32%2C%09-1.15%2C0.2%29%2C%0D%0Acircle%284.52%2C%09-0.59%2C0.2%29%2C%0D%0Acircle%284.71%2C%090.00%2C0.2%29%2C%0D%0Acircle%284.91%2C%090.59%2C0.2%29%2C%0D%0Acircle%285.11%2C%091.15%2C0.2%29%2C%0D%0Acircle%285.30%2C%091.67%2C0.2%29%2C%0D%0Acircle%285.50%2C%092.12%2C0.2%29%2C%0D%0Acircle%285.69%2C%092.49%2C0.2%29%2C%0D%0Acircle%285.89%2C%092.77%2C0.2%29%2C%0D%0Acircle%286.09%2C%092.94%2C0.2%29%2C%0D%0Acircle%286.28%2C%093.00%2C0.2%29%2C%0D%0Acircle%286.48%2C%092.94%2C0.2%29%2C%0D%0Acircle%286.68%2C%092.77%2C0.2%29%2C%0D%0Acircle%286.87%2C%092.49%2C0.2%29%2C%0D%0Acircle%287.07%2C%092.12%2C0.2%29%2C%0D%0Acircle%287.26%2C%091.67%2C0.2%29%2C%0D%0Acircle%287.46%2C%091.15%2C0.2%29%2C%0D%0Acircle%287.66%2C%090.59%2C0.2%29%2C%0D%0Acircle%287.85%2C%090.00%2C0.2%29%2C%0D%0Acircle%288.05%2C%09-0.59%2C0.2%29%2C%0D%0Acircle%288.25%2C%09-1.15%2C0.2%29%2C%0D%0Acircle%288.44%2C%09-1.67%2C0.2%29%2C%0D%0Acircle%288.64%2C%09-2.12%2C0.2%29%2C%0D%0Acircle%288.84%2C%09-2.49%2C0.2%29%2C%0D%0Acircle%289.03%2C%09-2.77%2C0.2%29%2C%0D%0Acircle%289.23%2C%09-2.94%2C0.2%29%2C%0D%0Acircle%289.42%2C%09-3.00%2C0.2%29%2C%0D%0Acircle%289.62%2C%09-2.94%2C0.2%29%2C%0D%0Acircle%289.82%2C%09-2.77%2C0.2%29%2C%0D%0Acircle%2810.01%2C%09-2.49%2C0.2%29%2C%0D%0Acircle%2810.21%2C%09-2.12%2C0.2%29%2C%0D%0Acircle%2810.41%2C%09-1.67%2C0.2%29%2C%0D%0Acircle%2810.60%2C%09-1.15%2C0.2%29%2C%0D%0Acircle%2810.80%2C%09-0.59%2C0.2%29%2C%0D%0Acircle%2811.00%2C%090.00%2C0.2%29%2C%0D%0Acircle%2811.19%2C%090.59%2C0.2%29%2C%0D%0Acircle%2811.39%2C%091.15%2C0.2%29%2C%0D%0Acircle%2811.58%2C%091.67%2C0.2%29%2C%0D%0Acircle%2811.78%2C%092.12%2C0.2%29%2C%0D%0Acircle%2811.98%2C%092.49%2C0.2%29%2C%0D%0Acircle%2812.17%2C%092.77%2C0.2%29%2C%0D%0Acircle%2812.37%2C%092.94%2C0.2%29%2C%0D%0Acircle%2812.57%2C%093.00%2C0.2%29%2C%0D%0Agraph%28300%2C300%2C-2%2C14%2C-4%2C4%2C3%2Asin%28x-%283%2F2%29pi%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );