document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=548049>Question 548049</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write an equation of the ellipse with the given characteristics and center at (0,0)\r<BR>\n" );
document.write( "\n" );
document.write( "vertex:(0,6)<BR>\n" );
document.write( "co-vertex:(-3,0) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #356946 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=356946\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> write an equation of the ellipse with the given characteristics and center at (0,0) <BR>\n" );
document.write( "vertex:(0,6)<BR>\n" );
document.write( "co-vertex:(-3,0)<BR>\n" );
document.write( "**<BR>\n" );
document.write( "Standard form of equation for ellipse with vertical major axis: <BR>\n" );
document.write( "(x-h)^2/b^2+(y-k)^2/a^2=1, a>b, (h,k) being the (x,y) coordinates of the center.<BR>\n" );
document.write( "For given ellipse:<BR>\n" );
document.write( "center:(0,0) <BR>\n" );
document.write( "length of vertical major axis=12=2a<BR>\n" );
document.write( "a=6<BR>\n" );
document.write( "a^2=36<BR>\n" );
document.write( "length of minor axis=6=2b<BR>\n" );
document.write( "b=3<BR>\n" );
document.write( "b^2=9<BR>\n" );
document.write( "Equation of given ellipse:<BR>\n" );
document.write( "(x-h)^2/b^2+(y-k)^2/a^2=1<BR>\n" );
document.write( "(x-0)^2/9+(y-0)^2/36=1<BR>\n" );
document.write( "x^2/9+y^2/36=1 (ans) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );