document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=605452>Question 605452</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The problem is y^2-6y+16x+25=0. I have to find the vertex, the focus, the directrix and the axis. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #381706 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=381706\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The problem is y^2-6y+16x+25=0. <BR>\n" );
document.write( "I have to find the vertex, the focus, the directrix and the axis.<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "Rearrange:<BR>\n" );
document.write( "16x = -y^2+6y-25<BR>\n" );
document.write( "16x = -(y^2-6y+25)<BR>\n" );
document.write( "16x = -(y^2-6y+9)-25+9<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "x = (-1/16)(y-3)^2 +(9/16)<BR>\n" );
document.write( "That is a parabola opening to the left:<BR>\n" );
document.write( "k = 3 ; h = 9/16 <BR>\n" );
document.write( "4p = -1/16<BR>\n" );
document.write( "p = -1/64<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Vertex: (9/16 , 3)<BR>\n" );
document.write( "Axis: y = 3<BR>\n" );
document.write( "Focus: (9/16-1/64,3) = (35/64 , 3)<BR>\n" );
document.write( "Directrix: x = 9/16+1/64 = 37/64<BR>\n" );
document.write( "=========================================\r<BR>\n" );
document.write( "\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=================<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );