document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=563053>Question 563053</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find center, vertices, and foci of the ellipse: (x+1)^2/16+(y-3)^2/25=1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #364792 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=364792\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find center, vertices, and foci of the ellipse: (x+1)^2/16+(y-3)^2/25=1<BR>\n" );
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document.write( "Standard form of equation for an ellipse with vertical major axis: <BR>\n" );
document.write( "(x-h)^2/b^2+(y-k)^2/a^2=1, a>b, with (h,k) being the (x,y) coordinates of the center.<BR>\n" );
document.write( "For given elllipse: (x+1)^2/16+(y-3)^2/25=1<BR>\n" );
document.write( "center: (-1,3)<BR>\n" );
document.write( "a^2=25<BR>\n" );
document.write( "a=&#8730;25=5<BR>\n" );
document.write( "Vertices: (-1,3±a)=(-1,3±5),=(-1,-2) and (-1, 8)<BR>\n" );
document.write( "b^2=16<BR>\n" );
document.write( "b=&#8730;16=4<BR>\n" );
document.write( "Foci:<BR>\n" );
document.write( "c^2=a^2-b^2=25-16=9<BR>\n" );
document.write( "c=&#8730;9=3<BR>\n" );
document.write( "Foci: (-1,3±c)=(-1,3±3),=(-1,0) and (-1, 6) </SPAN>\n" );
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