document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=578596>Question 578596</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Give the amplitude, vertical shift, phase shift, and period for the equation.<BR>\n" );
document.write( "y = -2cot(4x-24pi)+1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #370714 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=370714\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Give the amplitude, vertical shift, phase shift, and period for the equation.<BR>\n" );
document.write( "y = -2cot(4x-24pi)+1<BR>\n" );
document.write( "**<BR>\n" );
document.write( "Equation for graphing cot function: y=Acot(Bx-C), Period=&#960;/B, Phase shift=C/B.<BR>\n" );
document.write( "For given equation:<BR>\n" );
document.write( "Vertical shift=1<BR>\n" );
document.write( "period=&#960;/B=&#960;/4&#8776;.785 radians<BR>\n" );
document.write( "phase shift=C/B=24&#960;/4=6&#960; (to the right)<BR>\n" );
document.write( "The coefficient 2 stretches the curve vertically<BR>\n" );
document.write( "The negative sign means that the curve is reflected about the x-axis<BR>\n" );
document.write( "There is no maximum or minimum like sin and cos curves; only asymptotes at the beginning and end of the period. Since the curve was shifted 6&#960; radians, there are asymptotes at x&#8776;19.63 and 18.85 (for one period) </SPAN>\n" );
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