document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=350003>Question 350003</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the equation of the parabola who has a focus of (3,-5) and the equation of the directrix is y=-2? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #250154 by </B><A HREF=/tutors/aboutme.mpl?userid=alanc><B>alanc(27)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=alanc><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=alanc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=250154\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Refer to the standard form for a parabola:   (x-h)^2 = 4a*(y-k)   vertex of parabola is at (h,k)  focus is at (h, k + a).<BR>\n" );
document.write( "directrix at y= k - a\r<BR>\n" );
document.write( "\n" );
document.write( "we have y = -2 = k - a   and  -5 = k + a,  with h = 3\r<BR>\n" );
document.write( "\n" );
document.write( "-2 = k - a<BR>\n" );
document.write( "-5 = k + a\r<BR>\n" );
document.write( "\n" );
document.write( "-7 = 2k\r<BR>\n" );
document.write( "\n" );
document.write( "k = -7/2\r<BR>\n" );
document.write( "\n" );
document.write( "vertex at (3, -7/2)\r<BR>\n" );
document.write( "\n" );
document.write( "a = -5 - k = -5 - (-7/2) = -3/2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "equation is :  (x -3)^2 = 4*(-3/2)*(y - (-7/2))\r<BR>\n" );
document.write( "\n" );
document.write( "Equation: (x-3)^2 = -6(y + 7/2)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );