document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=726805>Question 726805</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The semi-major axis has length 2root13 units, and the foci are at (-1,1) and (-1,-5).\r<BR>\n" );
document.write( "\n" );
document.write( "Write the equation of the ellipse that meets each set of conditions. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #444866 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=444866\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The semi-major axis has length 2root13 units, and the foci are at (-1,1) and (-1,-5). <BR>\n" );
document.write( "Write the equation of the ellipse that meets each set of conditions.<BR>\n" );
document.write( "***<BR>\n" );
document.write( "Standard form of equation for an ellipse with vertical major axis:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2 ALIGN=MIDDLE  ALT=\"%28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, a>b, (h,k)=(x,y) coordinates of center<BR>\n" );
document.write( "For given ellipse:<BR>\n" );
document.write( "center:(-1,-2)<BR>\n" );
document.write( "a=2&#8730;13<BR>\n" );
document.write( "a^2=4*13=52<BR>\n" );
document.write( "c=3 (from center to foci)<BR>\n" );
document.write( "c^2=9<BR>\n" );
document.write( "c^2=a^2-b^2<BR>\n" );
document.write( "b^2=a^2-c^2=52-9=43<BR>\n" );
document.write( "Equation of given ellipse:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B1%29%5E2%2F43%2B%28y%2B2%29%5E2%2F52 ALIGN=MIDDLE  ALT=\"%28x%2B1%29%5E2%2F43%2B%28y%2B2%29%5E2%2F52\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );