document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=98491>Question 98491</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with this.  Here is the Problem.\r<BR>\n" );
document.write( "\n" );
document.write( "Find the vertex, focus, and directrix of the parabola given by:\r<BR>\n" );
document.write( "\n" );
document.write( "           x^2-10x-8y+33=0\r<BR>\n" );
document.write( "\n" );
document.write( "I tried completing the square first, but I couldn't finish it.  I couldn't figure out what to do with the 33.  Please help me if you can. Thanks in advance. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #71787 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=71787\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> this is from Wikipedia - \"In Cartesian coordinates, a parabola with an axis parallel to the y axis with vertex (h, k), focus (h, k + p), and directrix y = k - p, with p being the distance from the vertex to the focus, has the equation (x-h)^2=4p(y-k)\"\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x^2-10x-8y+33=0 ... x^2-10x+25-8y+8=0 ... x^2-10x+25=8y-8 ... (x-5)^2=4(2)(y-1)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "so vertex is (5,1), focus is (5,3), and directrix is y=-1 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );