document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=316878>Question 316878</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do i identify the vertex, focus, and directrix of y=1/12x^2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #226885 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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/cgi-bin/show-face.mpl?user=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=226885\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The equation is already in vertex form,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281%2F12%29%28x-0%29%5E2%2B0 ALIGN=MIDDLE  ALT=\"y=%281%2F12%29%28x-0%29%5E2%2B0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The vertex is (0,0).<BR>\n" );
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document.write( "The general equation for a parabola is,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4p%28y-k%29=%28x-h%29%5E2 ALIGN=MIDDLE  ALT=\"4p%28y-k%29=%28x-h%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > where p is the distance from the vertex to the focus. <BR>\n" );
document.write( "In your case,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%28y-0%29=%28x-0%29%5E2 ALIGN=MIDDLE  ALT=\"12%28y-0%29=%28x-0%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4p=12 ALIGN=MIDDLE  ALT=\"4p=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=3 ALIGN=MIDDLE  ALT=\"p=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The focus is located at (0,0)+(0,3)=(0,3)<BR>\n" );
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document.write( "The directrix is the same distance from the vertex but in the opposite direction.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-3 ALIGN=MIDDLE  ALT=\"y=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-6%2C6%2C-6%2C6%2Cgrid%281%29%2Ccircle%280%2C0%2C.3%29%2Ccircle%280%2C3%2C.3%29%2Cblue%28line%28-10%2C-3%2C10%2C-3%29%29%2Cgraph%28300%2C300%2C-6%2C6%2C-6%2C6%2C%281%2F12%29x%5E2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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