document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=389754>Question 389754</A>: <I><SPAN STYLE=\"word-break: break-all;\"> -x^2+y^2+4x-13=0 <BR>\n" );
document.write( "classify each conic section and sketch it on a graph </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #276365 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=276365\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> -x^2+y^2+4x-13=0<BR>\n" );
document.write( "complete the square.<BR>\n" );
document.write( "-(x^2+4x+4) +y^2=13-4<BR>\n" );
document.write( "-(x+2)^2+y^2 = 9<BR>\n" );
document.write( "y^2/9-(x+2)^2/9 =1<BR>\n" );
document.write( "standard form of parabola, (x-h)^2/a^2-(y-k)^2/b^2 = 1 (opens horizontally)<BR>\n" );
document.write( "or (y-k)^2/a^2-(x-h)^2/b^2 = 1 (opens vertically)<BR>\n" );
document.write( "this is a hyperbola opening in the vertical direction<BR>\n" );
document.write( "Other parameters:<BR>\n" );
document.write( "a^2=9<BR>\n" );
document.write( "a=3<BR>\n" );
document.write( "b^2=9<BR>\n" );
document.write( "b=3<BR>\n" );
document.write( "c=sqrt a^2+b^2=sqrt 18 =4.24<BR>\n" );
document.write( "ctr((-2,0)<BR>\n" );
document.write( "foci (-2,±c) <BR>\n" );
document.write( "foci (-2,±4.24) <BR>\n" );
document.write( "vertex (-2,±a) <BR>\n" );
document.write( "vertex (-2,±3) <BR>\n" );
document.write( "asymptotes y=±(a/b)x=(3/3)x=x\r<BR>\n" );
document.write( "\n" );
document.write( "sorry I don't have ways to draw the hyperbola here, but you should be able to do it with the above information. </SPAN>\n" );
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