document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=971219>Question 971219</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (x-2)^2+4y^2=16<BR>\n" );
document.write( "I need to get the center, the vertices, and foci. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #593788 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=593788\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (x-2)^2+4y^2=16\r<BR>\n" );
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document.write( "divide by 16\r<BR>\n" );
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document.write( "x^2/16  +4y^2/16 =1= x^2/16  + y^2/4\r<BR>\n" );
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document.write( "This is an ellipse centered on the origin.\r<BR>\n" );
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document.write( "The x-axis goes from (-4,0) to (0,4).<BR>\n" );
document.write( "The y-axis goes from (0-2) to (0,2)  Those points are the vertices.\r<BR>\n" );
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document.write( "The foci are <BR>\n" );
document.write( "f=(sqrt (16-4))=2 sqrt (3)\r<BR>\n" );
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document.write( "They are along the x-axis at (-2sqrt(3),0) and (2 sqrt (3),0)<BR>\n" );
document.write( "2sqrt(3)=3.464\r<BR>\n" );
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document.write( " </SPAN>\n" );
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