document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=851968>Question 851968</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How to find the equation of the conic with center at (-4,1), one focus at (-1,1) and corresponding directrix at x=13/4? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #513079 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=513079\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How to find the equation of the conic with center at (-4,1), one focus at (-1,1) and corresponding directrix at x=13/4?<BR>\n" );
document.write( "***<BR>\n" );
document.write( "This conic is an ellipse with horizontal major axis with center at (-4,1)<BR>\n" );
document.write( "Its standard form of equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, a>b, (h,k)=center<BR>\n" );
document.write( "c=3 (distance from center to foci on the major axis)<BR>\n" );
document.write( "directrix at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=13%2F4=a%2Fe=a%2F%28c%2Fa%29=a%5E2%2Fc ALIGN=MIDDLE  ALT=\"x=13%2F4=a%2Fe=a%2F%28c%2Fa%29=a%5E2%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a^2=13c/4=39/4<BR>\n" );
document.write( "b^2=a^2-c^2=39/4-9=39/4-36/4=3/4<BR>\n" );
document.write( "equation:<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B4%29%5E2%2F%2839%2F4%29%2B%28y-1%29%5E2%2F%283%2F4%29=1 ALIGN=MIDDLE  ALT=\"%28x%2B4%29%5E2%2F%2839%2F4%29%2B%28y-1%29%5E2%2F%283%2F4%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );