document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=713388>Question 713388</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the standard form equation of an ellipse:<BR>\n" );
document.write( "Vertices: (5,-3) (-3,-3)<BR>\n" );
document.write( "Co-vertices: (1,0), (1, -6)\r<BR>\n" );
document.write( "\n" );
document.write( "I know how to find the standard form with only two endpoints rather than four. <BR>\n" );
document.write( "Thanks for your help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #438698 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=438698\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write the standard form equation of an ellipse:<BR>\n" );
document.write( "Vertices: (5,-3) (-3,-3)<BR>\n" );
document.write( "Co-vertices: (1,0), (1, -6) <BR>\n" );
document.write( "I know how to find the standard form with only two endpoints rather than four. <BR>\n" );
document.write( "Thanks for your help!<BR>\n" );
document.write( "**<BR>\n" );
document.write( "Given data shows ellipse has a horizontal major axis.<BR>\n" );
document.write( "Its standard form of equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, a>b, (h,k)=(x,y) coordinates of center.<BR>\n" );
document.write( "x-coordinate of center= (5+(-3))/2=2/2=1 (midpoint formula)<BR>\n" );
document.write( "y-coordinate of center=-3<BR>\n" );
document.write( "center:(1,-3)<BR>\n" );
document.write( "length of horizontal major axis=8 (-3 to 5)=2a<BR>\n" );
document.write( "a=4<BR>\n" );
document.write( "a^2=16<BR>\n" );
document.write( "length of minor axis (co-vertices)=6 (0 to 6)=2b<BR>\n" );
document.write( "b=3<BR>\n" );
document.write( "b^2=9<BR>\n" );
document.write( "..<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-1%29%5E2%2F16%2B%28y%2B3%29%5E2%2F9=1 ALIGN=MIDDLE  ALT=\"%28x-1%29%5E2%2F16%2B%28y%2B3%29%5E2%2F9=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );