document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=680680>Question 680680</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write an equation for the ellipse. y-int +or-3; foci 0 sqrt (3) 0 -sqrt (3) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #422824 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=422824\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write an equation for the ellipse. y-int +or-3; foci 0 sqrt (3) 0 -sqrt (3)<BR>\n" );
document.write( "This is an equation of an ellipse with horizontal major axis:<BR>\n" );
document.write( "Its standard form: (x-h)^2/a^2=(y-k)^2/b^2=1, a>b, (h,k)=(x,y) coordinates of center<BR>\n" );
document.write( "For given ellipse:<BR>\n" );
document.write( "center: (0,0)<BR>\n" );
document.write( "b=&#8730;3<BR>\n" );
document.write( "b^2=3<BR>\n" );
document.write( "c=center to foci=3<BR>\n" );
document.write( "c^2=9<BR>\n" );
document.write( "c^2=a^2-b^2<BR>\n" );
document.write( "a^2=c^2+b^2=9+3=12<BR>\n" );
document.write( "equation of given ellipse:<BR>\n" );
document.write( "x^2/12+y^2/3=1<BR>\n" );
document.write( "see graph below:<BR>\n" );
document.write( "y=±(3-x^2/4)^.5<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+%283-x%5E2%2F4%29%5E.5%2C-%283-x%5E2%2F4%29%5E.5%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );