document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=590886>Question 590886</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write an equation for the following conic. if it is a parabola, it has a vertex at the origin, and if it is an ellipse or a hyperbola, it is centered at the origin. focus at (4,0) and e= 1/2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #375376 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=375376\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> write an equation for the following conic. if it is a parabola, it has a vertex at the origin, and if it is an ellipse or a hyperbola, it is centered at the origin. focus at (4,0) and e= 1/2<BR>\n" );
document.write( "**<BR>\n" );
document.write( "if 0<e<1, conic is an ellipse with horizontal major axis of the standard form:<BR>\n" );
document.write( "(x-h)^2/a^2+(y-k)^2/b^2=1, a>b, (h,k)=(x,y) coordinates of center<BR>\n" );
document.write( "center: (0,0) (given)<BR>\n" );
document.write( "c=4<BR>\n" );
document.write( "c^2=16<BR>\n" );
document.write( "e=1/2=c/a<BR>\n" );
document.write( "a=2c=8<BR>\n" );
document.write( "a^2=64<BR>\n" );
document.write( "c^2=a^2-b^2<BR>\n" );
document.write( "b^2=a^2-c^2=64-16=48<BR>\n" );
document.write( "Equation of ellipse:<BR>\n" );
document.write( "x^2/64+y^2/48=1 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );