document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=874059>Question 874059</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the coordinates of the centre, foci, vertices and the equation of the asymptotes then graph the equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-y%5E2+=8x+-12 ALIGN=MIDDLE  ALT=\"x%5E2+-y%5E2+=8x+-12\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #527280 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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/cgi-bin/show-face.mpl?user=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=527280\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-y%5E2+=8x+-12 ALIGN=MIDDLE  ALT=\"x%5E2+-y%5E2+=8x+-12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-8x++-y%5E2+=-12 ALIGN=MIDDLE  ALT=\"x%5E2+-8x++-y%5E2+=-12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-4%29%5E2+-+y%5E2+=+4+ ALIGN=MIDDLE  ALT=\"%28x-4%29%5E2+-+y%5E2+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-4%29%5E2%2F2%5E2+-+y%5E2%2F4+=+1+ ALIGN=MIDDLE  ALT=\"%28x-4%29%5E2%2F2%5E2+-+y%5E2%2F4+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "centre (4,0) <BR>\n" );
document.write( "vertices (2,0) and (6,0)  <BR>\n" );
document.write( "foci c = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%288%29 ALIGN=MIDDLE  ALT=\"sqrt%288%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (2+2&#8730;2, 0) and (2-2&#8730;2, 0)<BR>\n" );
document.write( "equation of the asymptotes: m = ± 1,  y = 4x + 4, y = -4x - 4  <BR>\n" );
document.write( "Standard Form of an Equation of an Hyperbola opening right and  left is:<BR>\n" );
document.write( "  <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;\" > with C(h,k) and vertices 'a' units right and left of center,   2a the length of the transverse axis.  e = c/a.<BR>\n" );
document.write( "Foci are  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28a%5E2%2Bb%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28a%5E2%2Bb%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > =  c- units right and left of center along y = k<BR>\n" );
document.write( "& Asymptotes Lines passing thru C(h,k), with slopes  m =  ± b/a <BR>\n" );
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