document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=618107>Question 618107</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you write the equation of the indicated conic in standard form?\r<BR>\n" );
document.write( "\n" );
document.write( "Ellipse: Vertices:(-4,6),(8,6) Co-vertices:(2,8),(2,4) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #388704 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=388704\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How do you write the equation of the indicated conic in standard form? <BR>\n" );
document.write( "Ellipse: Vertices:(-4,6),(8,6) Co-vertices:(2,8),(2,4)<BR>\n" );
document.write( "**<BR>\n" );
document.write( "This is an ellipse with horizontal major axis:<BR>\n" );
document.write( "Its equation: (x-h)^2/a^2+(y-k)^2/b^2=1, a>b, (h,k)=(x,y) coordinates of center<BR>\n" );
document.write( "y-coordinate of center=6<BR>\n" );
document.write( "x-coordinate of center=2 (8-4)/2=2 (midpoint formula)<BR>\n" );
document.write( "center: (2,6)<BR>\n" );
document.write( "length of horizontal major axis=12 (-4 to 8)=2a<BR>\n" );
document.write( "a=6<BR>\n" );
document.write( "a^2=36<BR>\n" );
document.write( "..<BR>\n" );
document.write( "length of co-vertices of minor axis=4 (4 to 8)=2b<BR>\n" );
document.write( "b=2<BR>\n" );
document.write( "b^2=4<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "(x-2)^2/36+(y-6)^2/4=1  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );