document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=147482>Question 147482</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please help me!! It would be greatly appreciated:<BR>\n" );
document.write( "Find the center, vertices and foci of the hyperbola: y^2=x^2+8x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #107883 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=107883\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the center, vertices and foci of the hyperbola: y^2=x^2+8x<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Rewrite:<BR>\n" );
document.write( "x^2+8x -y^2 = 0<BR>\n" );
document.write( "Complete the square on the x-terms:<BR>\n" );
document.write( "x^2+8x+16 - y^2 = 16<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "(x+4)^2/16 - (y-0)^2/16 = 1<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "Center is at (-4,0)<BR>\n" );
document.write( "a = 4 ; b = 4 ; c = sqrt(16 + 16) = 4sqrt2<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Vertices: <BR>\n" );
document.write( "(-4+4,0) or (0,0)<BR>\n" );
document.write( "(-4-4,0) or (-8,0)<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Foci:<BR>\n" );
document.write( "(-4+4sqrt2,0)<BR>\n" );
document.write( "(-4-4sqrt2,0)<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );