document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=892943>Question 892943</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the conic section represented here and give its standard equation: 4y^2-x^2-2x-24y+19=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #540951 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=540951\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the conic section represented here and give its standard equation: <BR>\n" );
document.write( "4y^2-x^2-2x-24y+19=0<BR>\n" );
document.write( "-x^2-2x+4y^2-24y=-19<BR>\n" );
document.write( "complete the square<BR>\n" );
document.write( "-(x^2+2x+1)+4(y^2-6y+9)=-19-1+36<BR>\n" );
document.write( "-(x+1)^2+4(y-3)^2=16<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-3%29%5E2%2F4-%28x%2B1%29%5E2%2F16=1 ALIGN=MIDDLE  ALT=\"%28y-3%29%5E2%2F4-%28x%2B1%29%5E2%2F16=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 (-1,3)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );