document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=822332>Question 822332</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you put this conic section into standard form? I know it's a hyperbola.\r<BR>\n" );
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document.write( "6y^2+24y-x^2-36=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #495326 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=495326\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How do you put this conic section into standard form? I know it's a hyperbola.<BR>\n" );
document.write( "6y^2+24y-x^2-36=0<BR>\n" );
document.write( "complete the square:<BR>\n" );
document.write( "6(y^2+4y+4)-x^2-36=0<BR>\n" );
document.write( "6(y+2)^2-x^2=36+24=60<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%2B2%29%5E2%2F10-x%5E2%2F60=1 ALIGN=MIDDLE  ALT=\"%28y%2B2%29%5E2%2F10-x%5E2%2F60=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is an equation of a hyperbola with vertical transverse axis and center at (0,-2).<BR>\n" );
document.write( "Its standard form: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-h%29%5E2%2Fa%5E2-%28x-h%29%5E2%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"%28y-h%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. </SPAN>\n" );
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