document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=752162>Question 752162</A>: <I><SPAN STYLE=\"word-break: break-all;\"> identify the vertex focus axis of symmetry and directrix\r<BR>\n" );
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document.write( "x=-2y2-24y-76 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #457901 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=457901\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> identify the vertex focus axis of symmetry and directrix <BR>\n" );
document.write( "x=-2y2-24y-76<BR>\n" );
document.write( "complete the square<BR>\n" );
document.write( "x=-2(y^2+12y+36)+72-76<BR>\n" );
document.write( "x=-2(y+6)^2-4<BR>\n" );
document.write( "-2(y+6)^2=(x+4)<BR>\n" );
document.write( "(y+6)^2=(-1/2)(x+4)<BR>\n" );
document.write( "This is an equation of a parabola that opens leftward.<BR>\n" );
document.write( "Its basic form: (y-k)^2=-4p(x-h)<BR>\n" );
document.write( "For given equation: <BR>\n" );
document.write( "vertex:(-4,-6)<BR>\n" );
document.write( "axis of symmetry: y=-6<BR>\n" );
document.write( "4p=1/2<BR>\n" );
document.write( "p=1/8<BR>\n" );
document.write( "directrix: x=31/8 (p-distance to the right of vertex on the axis of symmetry) </SPAN>\n" );
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