document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1144011>Question 1144011</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the hyperbola with the following properties.\r<BR>\n" );
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document.write( "             Foci at (5,-4) and (13,-4)<BR>\n" );
document.write( "             Vertices at (6,-4) and (12,-4)<BR>\n" );
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document.write( "(1) Foci at (5,-4) and (13,-4)<br><BR>\n" );
document.write( "So...<br><BR>\n" );
document.write( "Transverse axis is horizontal, so branches open right and left.<BR>\n" );
document.write( "The general equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"%28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The center (h,k) is halfway between the foci, at (9,-4).<BR>\n" );
document.write( "c=4.<br><BR>\n" );
document.write( "(2) Vertices at (6,-4) and (12,-4)<br><BR>\n" );
document.write( "So the length of the transverse axis is 6, which means a=3.<br><BR>\n" );
document.write( "Use c^2=a^c+b^2 to determine a^2; then write the equation. </SPAN>\n" );
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