document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=35469>Question 35469</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534400329/algebrahomeworkh>algebra for college students</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I need help with this too, Please:\r<BR>\n" );
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document.write( "Find the vertices, the endpoints of the minor axis, and foci of the given ellipse, and sketch it's graph:\r<BR>\n" );
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document.write( "4x squared + y squared - 8y + 4y + 4 = 0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #21580 by </B><A HREF=/tutors/aboutme.mpl?userid=Nate><B>Nate(3500)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nate><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=21580\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4x^2 + y^2 - 8y + 4y + 4 = 0<BR>\n" );
document.write( "4x^2 - 8x + y^2 + 4y = -4<BR>\n" );
document.write( "4(x^2 - 2x) + (y^2 + 4y) = -4<BR>\n" );
document.write( "4(x - 1)^2 + (y + 2)^2 = 4<BR>\n" );
document.write( "((x - 1)^2) + ((y + 2)^2)/4 = 1<BR>\n" );
document.write( "center (1,-2)<BR>\n" );
document.write( "has a vertical major axis<BR>\n" );
document.write( "a(length of major axis) = 2<BR>\n" );
document.write( "b(length of minor axis) = 1<BR>\n" );
document.write( "c^2 = a^2 - b^2<BR>\n" );
document.write( "c^2 = 4 - 1<BR>\n" );
document.write( "c = 3^(1/2) or -3^(1/2) length cannot be negative so the c is 3^(1/2)<BR>\n" );
document.write( "foci: (1+3^(1/2),-2) and (1-3^(1/2),-2) </SPAN>\n" );
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