document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=981055>Question 981055</A>: <I><SPAN STYLE=\"word-break: break-all;\"> -3(x+1/2)^2=y<BR>\n" );
document.write( "whats its focus, directrix, and vertex? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #602078 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=602078\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%2F3%29y=%28x%2B1%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"%28-1%2F3%29y=%28x%2B1%2F2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Compare this to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4py=%28x-h%29%5E2 ALIGN=MIDDLE  ALT=\"4py=%28x-h%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Yours has <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4p=-1%2F3 ALIGN=MIDDLE  ALT=\"4p=-1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=-1%2F12 ALIGN=MIDDLE  ALT=\"p=-1%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The directrix is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F12 ALIGN=MIDDLE  ALT=\"1%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > units away from the vertex and is on the convex side of the vertex (0,-1/2).  Focus is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F12 ALIGN=MIDDLE  ALT=\"1%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > units below the vertex.  The parabola is vertical and opens downward.\r<BR>\n" );
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document.write( "Focus:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-1%2F2-1%2F12=-6%2F12-1%2F12=-7%2F12 ALIGN=MIDDLE  ALT=\"y=-1%2F2-1%2F12=-6%2F12-1%2F12=-7%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or  (0, -7/12).<BR>\n" );
document.write( "Directrix:  The line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-1%2F2%2B1%2F12=-5%2F12 ALIGN=MIDDLE  ALT=\"y=-1%2F2%2B1%2F12=-5%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-5%2F12 ALIGN=MIDDLE  ALT=\"y=-5%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Vertex:  ( 0,-1/2).\r<BR>\n" );
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document.write( "Refer in your book to the derivation of a parabola equation for horizontal directrix with focus on the x-axis; and that p is the distance from either focus or directrix.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28250%2C250%2C-3%2C3%2C-3%2C3%2C-3%28x%2B1%2F2%29%5E2%29 ALIGN=MIDDLE  ALT=\"graph%28250%2C250%2C-3%2C3%2C-3%2C3%2C-3%28x%2B1%2F2%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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