document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=83306>Question 83306</A>: <I><SPAN STYLE=\"word-break: break-all;\">   find the equation of the parabola with its vertex at the point of orgin and the focal point F(0,2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59801 by </B><A HREF=/tutors/aboutme.mpl?userid=dolly><B>dolly(163)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dolly><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=59801\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given the vertex is (0,0) and the focus is (0,2)\r<BR>\n" );
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document.write( "Now d = distance between the focus and the vertex\r<BR>\n" );
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document.write( "     = sqrt (0^2 + 2^2)\r<BR>\n" );
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document.write( "    = sqrt(4)\r<BR>\n" );
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document.write( "    = 2\r<BR>\n" );
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document.write( "So a = 1/4d\r<BR>\n" );
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document.write( "    = 1/8\r<BR>\n" );
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document.write( "Vertex (h.k) = (0,0)\r<BR>\n" );
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document.write( "So equation of the parabola is y = a(x-h)^2 + k\r<BR>\n" );
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document.write( "                                 = 1/8 [x-0]^2 + 0\r<BR>\n" );
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document.write( "                                 = 1/8 [x^2]\r<BR>\n" );
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document.write( "Thus the required equation is x^2 = 8y\r<BR>\n" );
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document.write( " </SPAN>\n" );
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