document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1071339>Question 1071339</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please explain how you do this question: Derive the equation of the locus of a point P(x,y) which moves so that its distance from (2,3) is always equal to its distance from the line x+2=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #686315 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=686315\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Please explain how you do this question: Derive the equation of the locus of a point P(x,y) which moves so that its distance from (2,3) is always equal to its distance from the line x+2=0 <BR>\n" );
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document.write( "The locus is a parabola.<BR>\n" );
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document.write( "Plot the point (2,3); that is the focus of the parabola.<BR>\n" );
document.write( "Sketch the line x = -2; that is the directrix<BR>\n" );
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document.write( "Distance from directrix to focus = 5<BR>\n" );
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document.write( "The vertex is at (2,1/2)<BR>\n" );
document.write( "p = 3-(1/2) = 5/2<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "Form:: (x-h)^2 = 4p(y-k)<BR>\n" );
document.write( "(x-2)^2 = 4(5/2)(y-(1/2)<BR>\n" );
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document.write( "x^2 - 4x + 4 = 10y - 5<BR>\n" );
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document.write( "y = (1/10)x^2 - (2/5)y + (9/10)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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