document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=33567>Question 33567</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me with this problem . <BR>\n" );
document.write( "Find (a)the directrix (b)the focus and (c)the roots of the parabola y=x^2-5x+4 (x^2 is x squared) thanks<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 #19972 by </B><A HREF=/tutors/aboutme.mpl?userid=mukhopadhyay><B>mukhopadhyay(490)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mukhopadhyay><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=19972\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y=x^2-5x+4 <BR>\n" );
document.write( "=> y = (x-5/2)^2+4-25/4<BR>\n" );
document.write( "=> y = (x-5/2)^2 - 9/4;<BR>\n" );
document.write( "=> (x-5/2)^2 = 4(1/4)(y+9/4)<BR>\n" );
document.write( "The vertex of the parabola is at (5/2, -9/4)<BR>\n" );
document.write( "The directrix is at y = (-9/4-1/4) => y = -10/4 = > y = -5/2<BR>\n" );
document.write( "The focus is at (5/2, -9/4+1/4) = (5/2, -2);<BR>\n" );
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