document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=755583>Question 755583</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what are the steps for sketching hyperbola </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #459728 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=459728\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> what are the steps for sketching hyperbola<BR>\n" );
document.write( "1.Find coordinates of center.<BR>\n" );
document.write( "2.Find end points of vertices (vertical or horizontal transverse axis)<BR>\n" );
document.write( "3.find end points of conjugate axis.<BR>\n" );
document.write( "4.Draw a rectangle with end points of 2nd and 3rd steps.<BR>\n" );
document.write( "5.Draw lines thru corners of rectangle. These two lines are the asymptotes which also go thru the center.<BR>\n" );
document.write( "6.Finally, sketch the curve between the asymptotes and thru both vertices.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Standard form of equation for a hyperbola with horizontal transverse axis:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"%28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, (h,k)=(x,y) coordinates of center.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Standard form of equation for a hyperbola with vertical transverse axis:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-k%29%5E2%2Fa%5E2-%28x-h%29%5E2%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"%28y-k%29%5E2%2Fa%5E2-%28x-h%29%5E2%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, (h,k)=(x,y) coordinates of center.\r<BR>\n" );
document.write( "\n" );
document.write( "length of transverse axis=2a<BR>\n" );
document.write( "length of conjugate axis=2b<BR>\n" );
document.write( " </SPAN>\n" );
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