document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=143412>Question 143412</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the equation 2x^2-16x-y+24=0 in vertex form. <BR>\n" );
document.write( "Find the..<BR>\n" );
document.write( "(a) vertex<BR>\n" );
document.write( "(b) axis of symmetry<BR>\n" );
document.write( "(c) focus<BR>\n" );
document.write( "(d) directrix oft the parabola\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #104383 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=104383\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write the equation 2x^2-16x-y+24=0 in vertex form. <BR>\n" );
document.write( "Find the..<BR>\n" );
document.write( "(a) vertex<BR>\n" );
document.write( "(b) axis of symmetry<BR>\n" );
document.write( "(c) focus<BR>\n" );
document.write( "(d) directrix oft the parabola <BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "2x^2-16x-y+24=0 \r<BR>\n" );
document.write( "\n" );
document.write( "2x^2-16x = y-24<BR>\n" );
document.write( "2(x^2-8x+16) = y-24+2*16<BR>\n" );
document.write( "2(x-4)^2 = y + 8<BR>\n" );
document.write( "(x-4)^2 = (1/2)(y+8)<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "(a) vertex:.................. (4,-8)<BR>\n" );
document.write( "(b) axis of symmetry:........ x = 4<BR>\n" );
document.write( "(c) focus....................<BR>\n" );
document.write( "4p = 1/2 ; p = 1/8<BR>\n" );
document.write( "So, focus is (4,-8+(1/8)) or (4,-63/8) <BR>\n" );
document.write( "(d) directrix of the parabola.. y = -8-(1/8) = -65/8<BR>\n" );
document.write( "============================================= <BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );