document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=481380>Question 481380</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Identify the vertex and directrix of the parabola (x+4)^2=-1/8(y+3)\r<BR>\n" );
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document.write( "and\r<BR>\n" );
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document.write( "Write the equation of a parabola a directrix at x = 1 and a focus at (-3, 0).\r<BR>\n" );
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document.write( "thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #329638 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=329638\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Identify the vertex and directrix of the parabola (x+4)^2=-1/8(y+3) <BR>\n" );
document.write( "and Write the equation of a parabola a directrix at x = 1 and a focus at (-3, 0).<BR>\n" );
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document.write( "(x+4)^2=-1/8(y+3)<BR>\n" );
document.write( "This is an equation of a parabola of the standard form: (x-h)^2=-4p(y-k), with (h,k) being the coordinates of the vertex, and the parabola opens downwards.<BR>\n" );
document.write( "For given equation: <BR>\n" );
document.write( "vertex: (-4,-3)<BR>\n" );
document.write( "4p=1/8<BR>\n" );
document.write( "p=1/32<BR>\n" );
document.write( "directrix:y=-3+1/32)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "directrix at x = 1 and a focus at (-3, 0)<BR>\n" );
document.write( "Given data shows this is an equation of a parabola of the standard form: (y-k)^2=-4p(x-h)<BR>\n" );
document.write( "vertex: (-1,0)<BR>\n" );
document.write( "Equation: y^2=-8(x+1)<BR>\n" );
document.write( "see graph as a visual check on the answer<BR>\n" );
document.write( "..<BR>\n" );
document.write( "y=±(-8(x+1))^.5<BR>\n" );
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