document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1026558>Question 1026558</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the ellipse with foci at (-4,0) and (-4,6) and vertex at (-4,8) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #641803 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=641803\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The major axis of the ellipse is parallel to the y-axis, and as such would take on the standard form <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;\" >.\r<BR>\n" );
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document.write( "The center of the ellipse is easy enough--it should be the point (-4,3).<BR>\n" );
document.write( "Now for the ellipse, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2%2Bc%5E2+=a%5E2 ALIGN=MIDDLE  ALT=\"b%5E2%2Bc%5E2+=a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "a = distance from the center to a vertex, hence a = 5.<BR>\n" );
document.write( "c = distance from the center to a focus, hence c = 3.<BR>\n" );
document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2%2B3%5E2=+5%5E2 ALIGN=MIDDLE  ALT=\"b%5E2%2B3%5E2=+5%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2+=+25-9+=+16 ALIGN=MIDDLE  ALT=\"b%5E2+=+25-9+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "==> the equation of the ellipse is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B4%29%5E2%2F16%2B%28y-3%29%5E2%2F25+=+1 ALIGN=MIDDLE  ALT=\"%28x%2B4%29%5E2%2F16%2B%28y-3%29%5E2%2F25+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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