document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=691661>Question 691661</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you help me find the vertex, focus, and equation of the directrix for x^2 =12y?<BR>\n" );
document.write( "From what I worked out I think the vertex is (0,0); the focus (0,3); and the equation is x^2=4*3y.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #427153 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=427153\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find the vertex, focus, and equation of the directrix for x^2 =12y?<BR>\n" );
document.write( "This is an equation of a parabola that opens upwards<BR>\n" );
document.write( "Its standard form: (y-k)^2=4p(x-h), (h,k)=(x,y) coordinates of the vertex, p=distance from vertex to focus or directrix on the axis of symmetry<BR>\n" );
document.write( "For given equation: x^2=12y<BR>\n" );
document.write( "vertex: (0,0)<BR>\n" );
document.write( "axis of symmetry:x=0 or y-axis<BR>\n" );
document.write( "4p=12<BR>\n" );
document.write( "p=3<BR>\n" );
document.write( "focus: (0,3)<BR>\n" );
document.write( "directrix: y=-3<BR>\n" );
document.write( "you got everything right except the directrix which is just a horizontal straight line p-units below the vertex on the axis of symmetry </SPAN>\n" );
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