document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1191710>Question 1191710</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 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 #823515 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=823515\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the definition of Parabola.  Your given focus is  (2,3), and directrix is x=-2.\r<BR>\n" );
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document.write( "( Notice that the vertex is  (0,3) in case you choose to use one of the parabola formulas directly.)\r<BR>\n" );
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document.write( "-----\r<BR>\n" );
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document.write( "The points equally distant from  (2,3) and from x=-2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%5E2%2B%28y-3%29%5E2=%28x-%28-2%29%29%5E2%2B%28y-y%29%5E2 ALIGN=MIDDLE  ALT=\"%28x-2%29%5E2%2B%28y-3%29%5E2=%28x-%28-2%29%29%5E2%2B%28y-y%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "-  -  -\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%5E2%2B%28y-3%29%5E2=%28x%2B2%29%5E2%2B0 ALIGN=MIDDLE  ALT=\"%28x-2%29%5E2%2B%28y-3%29%5E2=%28x%2B2%29%5E2%2B0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%5E2-%28x%2B2%29%5E2=-%28y-3%29%5E2 ALIGN=MIDDLE  ALT=\"%28x-2%29%5E2-%28x%2B2%29%5E2=-%28y-3%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-4x%2B4-%28x%5E2%2B4x%2B4%29=-%28y-3%29%5E2 ALIGN=MIDDLE  ALT=\"x%5E2-4x%2B4-%28x%5E2%2B4x%2B4%29=-%28y-3%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8x=-%28y-3%29%5E2 ALIGN=MIDDLE  ALT=\"-8x=-%28y-3%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%288x=%28y-3%29%5E2%29 ALIGN=MIDDLE  ALT=\"highlight%288x=%28y-3%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---------notice here, the vertex is shown from the equation as  (0,3). </SPAN>\n" );
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