document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=468949>Question 468949</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help to find the vertex, focus, and the directix of this parabola problem: y^2 – 12y + 16 – 20x = 0 \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #321731 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=321731\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I need help to find the vertex, focus, and the directix of this parabola problem: y^2 – 12y + 16 – 20x = 0 <BR>\n" );
document.write( "20x = y^2-12y+16<BR>\n" );
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document.write( "Complete the square:<BR>\n" );
document.write( "y^2-12y+36 = 20x-16+20<BR>\n" );
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document.write( "(y-6)^2 = 20x+4<BR>\n" );
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document.write( "20x = (y-6)^2-4<BR>\n" );
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document.write( "x = (1/20)(y-6)^2 - (1/5)<BR>\n" );
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document.write( "Vertex at (-1/5,6)<BR>\n" );
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document.write( "4p = 1/20<BR>\n" );
document.write( "p = 1/80<BR>\n" );
document.write( "Directrix: x = -1/5-1/80 = -17/80<BR>\n" );
document.write( "Focus: ((-1/5+(1/80),6) = ((-15/80),6)<BR>\n" );
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document.write( "cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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