document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=541810>Question 541810</A>: <I><SPAN STYLE=\"word-break: break-all;\"> To find coordinates, equation, and graph the ellipse with: center: (0,1) co-vertex: (0,6) major axis: 20 units long.\r<BR>\n" );
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document.write( "Vertices:\r<BR>\n" );
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document.write( "co-vertices:\r<BR>\n" );
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document.write( "Foci:\r<BR>\n" );
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document.write( "equation:\r<BR>\n" );
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document.write( "Can you help? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #354355 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=354355\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To find coordinates, equation, and graph the ellipse with: center: (0,1) co-vertex: (0,6) major axis: 20 units long. <BR>\n" );
document.write( "Vertices: <BR>\n" );
document.write( "co-vertices: <BR>\n" );
document.write( "Foci: <BR>\n" );
document.write( "equation: <BR>\n" );
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document.write( "Standard form of equation for ellipse with horizontal major axis:<BR>\n" );
document.write( "(x-h)^2/a^2+(y-k)^2/b^2=1,a>b, (h,k)=(x,y) coordinates of center<BR>\n" );
document.write( "For given ellipse:<BR>\n" );
document.write( "Center: (0,1)<BR>\n" );
document.write( "length of minor axis=2*(6-1)=2*5=10<BR>\n" );
document.write( "b=5<BR>\n" );
document.write( "b^2=25<BR>\n" );
document.write( "co-vertices: (0,1±b)=(0,1±5)=(0,-4) and (0,6)<BR>\n" );
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document.write( "length of major axis=20=2a<BR>\n" );
document.write( "a=10<BR>\n" );
document.write( "a^2=100<BR>\n" );
document.write( "vertices: (0±a,1)=(0±10,1)=(-10,1) and (10,1)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "c^2=a^2-b^2=100-25=75<BR>\n" );
document.write( "c=&#8730;75<BR>\n" );
document.write( "Foci:(0±c,1)=(0±&#8730;75,1)=(-&#8730;75,1) and (&#8730;75,1)<BR>\n" );
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document.write( "Equation of given ellipse:<BR>\n" );
document.write( "(x-h)^2/a^2+(y-k)^2/b^2=1<BR>\n" );
document.write( "(x-0)^2/100+(y-1)^2/25=1<BR>\n" );
document.write( "x^2/100+(y-1)^2/25=1\r<BR>\n" );
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document.write( "see graph below as a visual check on answers above<BR>\n" );
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document.write( "y=±(25-x^2/4)^.5+1\r<BR>\n" );
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