document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=760503>Question 760503</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write the standard equation of the parabola with the following characteristics\r<BR>\n" );
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document.write( "focus (-2,1) <BR>\n" );
document.write( "directrix  x=3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #467017 by </B><A HREF=/tutors/aboutme.mpl?userid=DSMLMD><B>DSMLMD(16)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=DSMLMD><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/cgi-bin/show-face.mpl?user=DSMLMD><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=467017\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Focus point at (-2,1) and directrix x = 3<BR>\n" );
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document.write( "directrix <BR>\n" );
document.write( "x = a - p<BR>\n" );
document.write( "3 = a - p .... (1)<BR>\n" );
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document.write( "focus point <BR>\n" );
document.write( "F((p+a),b)<BR>\n" );
document.write( "F(-2,1)<BR>\n" );
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document.write( "b = 1<BR>\n" );
document.write( "p + a = -2 .... (2)<BR>\n" );
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document.write( "eliminate (1) and (2) we get<BR>\n" );
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document.write( "p = -2.5<BR>\n" );
document.write( "a = 0.5<BR>\n" );
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document.write( "because the directrix located at x-coordinate, the parabola equation is:<BR>\n" );
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document.write( "(y-b)^2 = 4p(x-a)<BR>\n" );
document.write( "(y-1)^2 = 4(-2.5)(x-0.5)<BR>\n" );
document.write( "(y-1)^2 = -10(x-0.5)<BR>\n" );
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document.write( "so, the parabola equation is (y-1)^2 = -10(x-0.5)\r<BR>\n" );
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document.write( " </SPAN>\n" );
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