document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=813136>Question 813136</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the vertex, focus, and directrix of the parabola.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-y%5E2%2B4y-2=0 ALIGN=MIDDLE  ALT=\"x-y%5E2%2B4y-2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #489696 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=489696\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the vertex, focus, and directrix of the parabola.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-y%5E2%2B4y-2=0 ALIGN=MIDDLE  ALT=\"x-y%5E2%2B4y-2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "x-y^2+4y-2=0<BR>\n" );
document.write( "y^2-4y=x-2<BR>\n" );
document.write( "complete the square:<BR>\n" );
document.write( "(y^2-4y+4)=x-2+4<BR>\n" );
document.write( "(y-2)^2=(x+2)<BR>\n" );
document.write( "This is a parabola that opens rightwards:<BR>\n" );
document.write( "Its basic form of equation: (y-k)^2=4p(x-h), (h,k)=(x,y) coordinates of the vertex.<BR>\n" );
document.write( "vertex:(-2,2)<BR>\n" );
document.write( "axis of symmetry:y=2<BR>\n" );
document.write( "4p=1<BR>\n" );
document.write( "p=1/4<BR>\n" );
document.write( "focus:(-7/4,2)<BR>\n" );
document.write( "directrix:(-9/4,2) </SPAN>\n" );
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