document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=665614>Question 665614</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sketch one full cycle of y=cot(3x-pi/2)+5.How do I find the points after I get the left and right asymptote,I need 5 points,I know one is pi/6 for the left and the right is 3pi/6.But I am not sure how to find the remaining 3 middle points.And I also know the amp,flip,vertical shift and period.\r<BR>\n" );
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document.write( "help me out if you can\r<BR>\n" );
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document.write( "thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #414041 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=414041\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y=cot(3x-pi/2)+5<BR>\n" );
document.write( "equation of cot function: y=cot(Bx-C), period=&#960;/B, phase shift=C/B<BR>\n" );
document.write( "For given trig function: y=cot(3x-pi/2)+5<BR>\n" );
document.write( "B=3<BR>\n" );
document.write( "Period=&#960;/B=&#960;/3<BR>\n" );
document.write( "1/4 period=&#960;/12<BR>\n" );
document.write( "Phase shift=C/B=(&#960;/2)/3=&#960;/6 (shift to the right)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Graphing:(3 steps) (x-axis in radians, y-axis in units)<BR>\n" );
document.write( "coordinates of basic cot curve cot3x for one period:[0,&#960;/3]<BR>\n" );
document.write( "(0,asymptote), (&#960;/12,1), (&#960;/6, 0), (3&#960;/12,-1), (&#960;/3, asymptote)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "phase shift &#960;/6 to the right: (add &#960;/6&#8776;.524 to x-coordinate)<BR>\n" );
document.write( "(0.524,asymptote), (.786,1), (1.048, 0), (1.309,-1), (1.571, asymptote)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "bump up curve 5 units (final configuration)(add 5 to y-coordinates)<BR>\n" );
document.write( "(0.524,asymptote), (.786,6), (1.048, 5), (1.309,-4), (1.571, asymptote)\r<BR>\n" );
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document.write( " </SPAN>\n" );
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