document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=537448>Question 537448</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i need to list the vertex, focus, and directrix of this parabola<BR>\n" );
document.write( "(x+2) = -8(y-3)^2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #352914 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=352914\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i need to list the vertex, focus, and directrix of this parabola<BR>\n" );
document.write( "(x+2) = -8(y-3)^2<BR>\n" );
document.write( "**<BR>\n" );
document.write( "Standard form of an equation for a parabola which opens leftwards: (y-k)^2=-4p(x-h), (h,k) being the (x,y) coordinates of the vertex.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "(x+2) = -8(y-3)^2<BR>\n" );
document.write( "rewrite equation<BR>\n" );
document.write( "(y-3)^2=-(1/8)(x+2)<BR>\n" );
document.write( "vertex:(-2,3)<BR>\n" );
document.write( "Axis of symmetry: y=3<BR>\n" );
document.write( "4p=1/8<BR>\n" );
document.write( "p=1/32<BR>\n" );
document.write( "focus:(-2-(1/32,3)=[-(65/32),3] (p units from vertex on the axis of symmetry)<BR>\n" );
document.write( "directrix: x=-63/32 (a vertical line p units from vertex on the axis of symmetry) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );