document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1056473>Question 1056473</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the equation for the quadratic in standard form. With the focus at (6,2), the vertex at (6,-2) and the directrix line at y=-6.\r<BR>\n" );
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document.write( "I know that the answer is y=x^2/10-6x/5+2/5 but I don't have any idea how to reach this solution!! PLEASE HELP MEEE </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #671577 by </B><A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><B>Edwin McCravy(20056)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><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=Edwin+McCravy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=671577\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Something is wrong with what you have stated above.  \r<BR>\n" );
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document.write( "Either\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%5E2%2F10-6x%2F5%2B2%2F5 ALIGN=MIDDLE  ALT=\"y=x%5E2%2F10-6x%2F5%2B2%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "is not the answer or else the vertex is not (6,-2)\r<BR>\n" );
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document.write( "The vertex of any parabola is a point on the parabola<BR>\n" );
document.write( "and therefore must satisfy the equation of the parabola.\r<BR>\n" );
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document.write( "However, (6,-2) DOES NOT satisfy the equation!\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%5E2%2F10-6x%2F5%2B2%2F5 ALIGN=MIDDLE  ALT=\"y=x%5E2%2F10-6x%2F5%2B2%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Proof that it doesn't:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2%29=%286%29%5E2%2F10-6%286%29%2F5%2B2%2F5 ALIGN=MIDDLE  ALT=\"%28-2%29=%286%29%5E2%2F10-6%286%29%2F5%2B2%2F5\"   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=-2=36%2F10-36%2F5%2B2%2F5 ALIGN=MIDDLE  ALT=\"-2=36%2F10-36%2F5%2B2%2F5\"   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=-2=18%2F5-36%2F5%2B2%2F5 ALIGN=MIDDLE  ALT=\"-2=18%2F5-36%2F5%2B2%2F5\"   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=-2=-16%2F5 ALIGN=MIDDLE  ALT=\"-2=-16%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "That is clearly false.\r<BR>\n" );
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document.write( "The parabola that you say is the answer\r<BR>\n" );
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document.write( "has vertex (6,-16/5),\r<BR>\n" );
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document.write( "focus (6,-7/10),\r<BR>\n" );
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document.write( "and directrix y = -57/10.\r<BR>\n" );
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document.write( "------------------------\r<BR>\n" );
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document.write( "The parabola that has focus at (6,2), vertex at (6,-2) <BR>\n" );
document.write( "the directrix line at y=-6, has this equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+x%5E2%2F16-3x%2F4%2B1%2F4 ALIGN=MIDDLE  ALT=\"y+=+x%5E2%2F16-3x%2F4%2B1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I would have shown you how to get that, but since the<BR>\n" );
document.write( "answer you said is correct is incorrect, I thought<BR>\n" );
document.write( "I'd better wait until I was sure you had everything<BR>\n" );
document.write( "correct before doing it.  If you want to discuss it<BR>\n" );
document.write( "with me, you may do so in the thank-you note form<BR>\n" );
document.write( "below and I'll get back to you by email.\r<BR>\n" );
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document.write( "Edwin</pre> \r<BR>\n" );
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document.write( " </SPAN>\n" );
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