document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=594112>Question 594112</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write an equation for the conic section:<BR>\n" );
document.write( "A hyperbola with foci at (-3,0) and (3,0) and vertices at (2,0) and (-2,0).  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #376696 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=376696\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write an equation for the conic section:<BR>\n" );
document.write( "A hyperbola with foci at (-3,0) and (3,0) and vertices at (2,0) and (-2,0).<BR>\n" );
document.write( "**<BR>\n" );
document.write( "Equation is that for a hyperbola with horizontal transverse axis of the standard form:<BR>\n" );
document.write( "(x-h)^2/a^2-(y-k)^2/b^2=1,(h,k)=(x,y) coordinates of center.<BR>\n" );
document.write( "For given hyperbola:<BR>\n" );
document.write( "center: (0,0)<BR>\n" );
document.write( "length of horizontal transverse axis=4 (-2 to 2)=2a<BR>\n" );
document.write( "a=2<BR>\n" );
document.write( "a^2=4<BR>\n" );
document.write( "..<BR>\n" );
document.write( "2c=6 (-3 to 3)<BR>\n" );
document.write( "c=3<BR>\n" );
document.write( "c^2=9<BR>\n" );
document.write( "..<BR>\n" );
document.write( "c^2=a^2+b^2<BR>\n" );
document.write( "b^2=c^2-a^2=9-4=5<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "x^2/4-y^2/5=1 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );