document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=454235>Question 454235</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Formula for an ellipse= (x+1)^24(y+3)^2=1<BR>\n" );
document.write( "what are the vertices and foci of this ellipse </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #311936 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=311936\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Formula for an ellipse= (x+1)^24(y+3)^2=1<BR>\n" );
document.write( "what are the vertices and foci of this ellipse<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Do you mean (x+1)^2 + 4(y+3)^2=1 ?<BR>\n" );
document.write( "(x+1)^2/1 + (y+3)^2/0.25 = 1<BR>\n" );
document.write( "a^2 = 1, b^2 = 1/4<BR>\n" );
document.write( "Center at (-1,-3), long axis parallel to the x-axis<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Distance to foci = sqrt(a^2 - b^2) = sqrt(0.75)<BR>\n" );
document.write( "Foci at (-1-sqrt(0/75),-3) and (-1+sqrt(0.75,-3)<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "Vertices 1 unit from center parallel to x-axis and 1/2 unit vertical<BR>\n" );
document.write( "--> (-2,-3) and (0,-3)<BR>\n" );
document.write( "and (-1,-3.5) and (-1,-2.5) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );