document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=577699>Question 577699</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the vertex, the focus, and the directrix of the parabola. <BR>\n" );
document.write( "1) y = x2 + 9x +  20 <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #370646 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=370646\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the vertex, the focus, and the directrix of the parabola.<BR>\n" );
document.write( "1) y = x2 + 9x + 20 <BR>\n" );
document.write( "**<BR>\n" );
document.write( "y = x2 + 9x + 20<BR>\n" );
document.write( "complete the square<BR>\n" );
document.write( "y=(x^2+9x+81/4)+20-81/4<BR>\n" );
document.write( "y=(x+9/2)^2+80/4-81/4<BR>\n" );
document.write( "y=(x+9/2)^2-1/4<BR>\n" );
document.write( "(y+1/4)=(x+9/2)^2<BR>\n" );
document.write( "(x+9/2)^2=(y+1/4)<BR>\n" );
document.write( "Standard form of equation for a parabola that opens upwards: (x-h)^2=4p(y-k)<BR>\n" );
document.write( "vertex:(-9/2,-1/4)<BR>\n" );
document.write( "4p=1<BR>\n" );
document.write( "p=1/4<BR>\n" );
document.write( "directrix: y=-1/2<BR>\n" );
document.write( "focus: (9/2,0) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );