document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1169049>Question 1169049</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with this.Finding the equation of ellipse given the center(2,-3) major axis 16,focus (2,3)\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #793791 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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/cgi-bin/show-face.mpl?user=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=793791\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The center (2,-3) and focus (2,3) are on the same vertical line, so the major axis is vertical.<br><BR>\n" );
document.write( "General equation:<br><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+=+1 ALIGN=MIDDLE  ALT=\"%28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The center is (h,k); a is the semi-major axis and b is the semi-minor axis.<br><BR>\n" );
document.write( "The center (h,k) is (2,-3); the major axis is 16, so the semi-major axis is a=8.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%5E2%2Fb%5E2%2B%28y%2B3%29%5E2%2F8%5E2+=+1 ALIGN=MIDDLE  ALT=\"%28x-2%29%5E2%2Fb%5E2%2B%28y%2B3%29%5E2%2F8%5E2+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The distance from the center to the focus is c, where a, b, and c are related by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2=a%5E2%2Bb%5E2 ALIGN=MIDDLE  ALT=\"c%5E2=a%5E2%2Bb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "In this problem, c is the distance from (2,-3) to (2,3).<br><BR>\n" );
document.write( "So you know a and c; so you can calculate b.  Then you will have everything you need to write the equation.<br><BR>\n" );
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