document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=877552>Question 877552</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how to find standard form of an ellipse giving foci:(3,3) , (-1,3); Major axis length of 6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #529459 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=529459\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find standard form of an ellipse giving foci:(3,3) , (-1,3); Major axis length of 6<BR>\n" );
document.write( "***<BR>\n" );
document.write( "given foci coordinates show 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)=coordinates of center<BR>\n" );
document.write( "For given ellipse:<BR>\n" );
document.write( "center: (1,3)<BR>\n" );
document.write( "length of major axis=6=2a<BR>\n" );
document.write( "a=3<BR>\n" );
document.write( "a^2=9<BR>\n" );
document.write( "c=2 (distance from center to foci)<BR>\n" );
document.write( "c^2=4<BR>\n" );
document.write( "c^2=a^2-b^2<BR>\n" );
document.write( "b^2=a^2-3^2=9-4=5<BR>\n" );
document.write( "equation:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%5E2%2F9%2B%28y-3%29%5E2%2F5=1 ALIGN=MIDDLE  ALT=\"%28x-1%29%5E2%2F9%2B%28y-3%29%5E2%2F5=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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