document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=689855>Question 689855</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the ellipse with the given conditions.\r<BR>\n" );
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document.write( "Center (1,1), vertex (1,3), passing through (0,0).\r<BR>\n" );
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document.write( "I need 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 #426224 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=426224\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the ellipse with the given conditions. <BR>\n" );
document.write( "Center (1,1), vertex (1,3), passing through (0,0).<BR>\n" );
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document.write( "This is an ellipse with vertical 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%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;\" >, a>b, (h,k)=(x,y) coordinates of center<BR>\n" );
document.write( "For given ellipse:<BR>\n" );
document.write( "center: (1,1)<BR>\n" );
document.write( "length of major axis=4=2a<BR>\n" );
document.write( "a=2<BR>\n" );
document.write( "a^2=4<BR>\n" );
document.write( "plug in coordinates of given point on ellipse: (0,0)<BR>\n" );
document.write( "(x-1)^2/b^2+(y-1)^2/4=1<BR>\n" );
document.write( "(0-1)^2/b^2+(0-1)^2/4=1<BR>\n" );
document.write( "1/b^2+1/4=1<BR>\n" );
document.write( "1/b^2=3/4<BR>\n" );
document.write( "b^2=4/3<BR>\n" );
document.write( "Equation of given ellipse:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28x-1%29%5E2%2F4+%2B%28y-1%29%5E2%2F4=1 ALIGN=MIDDLE  ALT=\"3%28x-1%29%5E2%2F4+%2B%28y-1%29%5E2%2F4=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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