document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=117685>Question 117685</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I work my way through a math problem in finding the equation of an ellipse in standard form with vertices (2,-4) and (2,-10) and Foci 92,-5) (2,-9)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #85679 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=85679\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> finding the equation of an ellipse in standard form with vertices (2,-4) and (2,-10) and Foci (2,-5) (2,-9)?<BR>\n" );
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document.write( "Plot the points on a coordinate system so you can see what the ellipse <BR>\n" );
document.write( "looks like.<BR>\n" );
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document.write( "Do you see the center is half-way from -4 to -10 or at (2,-7)<BR>\n" );
document.write( "The semi-major axis is  a = 3<BR>\n" );
document.write( "Distance from center to focus is c = 2<BR>\n" );
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document.write( "For an ellipse a^2=b^2+c^2<BR>\n" );
document.write( "So, 3^2 = b^2 + 2^2<BR>\n" );
document.write( "b^2 = 5<BR>\n" );
document.write( "b = sqrt(5)<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "[(x-2)^2]/5 + [(y+7)^2]/9 = 1<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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