document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1063730>Question 1063730</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the standard equation of the parabola having the vertex of (7,11) and focus of (16,11)?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #678870 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39621)</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=678870\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You know focus and vertex.  The directrix is the line  16-7=9  units away from the vertex, but on the other side of the vertex than the focus.  The directrix is the line  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-2 ALIGN=MIDDLE  ALT=\"x=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "You also call this the point  (-2,y).\r<BR>\n" );
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document.write( "Look in your book for the definition of a parabola, and setup this equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28x-%28-2%29%29%5E2%2B%28y-y%29%5E2%29=sqrt%28%28x-16%29%5E2%2B%28y-11%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28x-%28-2%29%29%5E2%2B%28y-y%29%5E2%29=sqrt%28%28x-16%29%5E2%2B%28y-11%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Simplify that equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28x%2B2%29%5E2%29=sqrt%28%28x-16%29%5E2%2B%28y-11%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28x%2B2%29%5E2%29=sqrt%28%28x-16%29%5E2%2B%28y-11%29%5E2%29\"   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%2B2%29%5E2=%28x-16%29%5E2%2B%28y-11%29%5E2 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%5E2=%28x-16%29%5E2%2B%28y-11%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%2B4x%2B4=x%5E2-32x%2B256%2By%5E2-22y%2B121 ALIGN=MIDDLE  ALT=\"x%5E2%2B4x%2B4=x%5E2-32x%2B256%2By%5E2-22y%2B121\"   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=4x%2B4=-32x%2B256%2By%5E2-22y%2B121 ALIGN=MIDDLE  ALT=\"4x%2B4=-32x%2B256%2By%5E2-22y%2B121\"   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=36x%2B4=y%5E2-22y%2B377 ALIGN=MIDDLE  ALT=\"36x%2B4=y%5E2-22y%2B377\"   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=36x=y%5E2-22y%2B373 ALIGN=MIDDLE  ALT=\"36x=y%5E2-22y%2B373\"   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=36x=y%5E2-22y%2B11%5E2%2B373-11%5E2 ALIGN=MIDDLE  ALT=\"36x=y%5E2-22y%2B11%5E2%2B373-11%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, completing the square because you wanted standard form\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36x=%28y-11%29%5E2%2B252 ALIGN=MIDDLE  ALT=\"36x=%28y-11%29%5E2%2B252\"   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=%281%2F36%29%28y-11%29%5E2%2B252%2F36 ALIGN=MIDDLE  ALT=\"x=%281%2F36%29%28y-11%29%5E2%2B252%2F36\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "252/36=28/4=14/2=7\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=%281%2F36%29%28y-11%29%5E2%2B7%29 ALIGN=MIDDLE  ALT=\"highlight%28x=%281%2F36%29%28y-11%29%5E2%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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