document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=594672>Question 594672</A>: <I><SPAN STYLE=\"word-break: break-all;\"> graph the two periods of the tangent functions, y=2tan(2x) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #376944 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=376944\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> graph the two periods of the tangent functions, y=2tan(2x)<BR>\n" );
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document.write( "Formula for graphing tan functions: Atan(Bx-C), Period =&#960;/B, Phase shift=C/B, A=multiplier which stretches curve vertically. (increases the y-coordinates)<BR>\n" );
document.write( "For given tan function, y=2tan(2x)<BR>\n" );
document.write( "A=2<BR>\n" );
document.write( "Period=&#960;/B=&#960;/2<BR>\n" );
document.write( "1/4 period=&#960;/8<BR>\n" );
document.write( "phase shift=none<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Graphing for 2 periods:<BR>\n" );
document.write( "On the x-axis scaled in radians with no stretching, coordinates are as follows:<BR>\n" );
document.write( "(0,0), (&#960;/8,1), (&#960;/4,asymptote), (3&#960;/8, -1), (&#960;/2, 0), (5&#960;/8,1), (3&#960;/4, asymptote), (7&#960;/8,-1), (&#960;,0)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "With stretching of 2 units, final configuration is as follows:<BR>\n" );
document.write( "(0,0), (&#960;/8,3), (&#960;/4,asymptote), (3&#960;/8,-3), (&#960;/2, 0), (5&#960;/8,3), (3&#960;/4, asymptote), (7&#960;/8,-3), (&#960;,0)<BR>\n" );
document.write( "..\r<BR>\n" );
document.write( "\n" );
document.write( "You now have the information you need to graph the given  tan function. <BR>\n" );
document.write( "Sorry, I don't have the means to draw the graph.<BR>\n" );
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