document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1028741>Question 1028741</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could someone please help me with writing a conic equation in standard form?  The question is:  A parabola with vertex at (5,0) and directrix at x=7.<BR>\n" );
document.write( "I have (y-k)^2=-4p(x-h)<BR>\n" );
document.write( "(y-0)^2=-4p(x-5)<BR>\n" );
document.write( "p=2\r<BR>\n" );
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document.write( "y^2=-8p(x-5)--not sure if this is correct?  Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #643811 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=643811\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The FOCUS is on the other side of the vertex from the directrix.  Directrix is 2 units away from the vertex, so focus is therefore (3,0).\r<BR>\n" );
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document.write( "The basic form you chose is the right kind, which you would get or be able, if you were deriving the equation for your parabola using the definition of Parabola and Distance Formula.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-0%29%5E2=-4p%28x-5%29 ALIGN=MIDDLE  ALT=\"%28y-0%29%5E2=-4p%28x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and you are supposed to understand <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4p=-4%2A2 ALIGN=MIDDLE  ALT=\"-4p=-4%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, meaning <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=2 ALIGN=MIDDLE  ALT=\"p=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Combining those,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2=-8%28x-5%29 ALIGN=MIDDLE  ALT=\"y%5E2=-8%28x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Continuing toward standard form,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F8%29y%5E2=-8x%2B40 ALIGN=MIDDLE  ALT=\"%281%2F8%29y%5E2=-8x%2B40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%281%2F8%29y%5E2=x-5 ALIGN=MIDDLE  ALT=\"-%281%2F8%29y%5E2=x-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=-%281%2F8%29y%5E2%2B5%29 ALIGN=MIDDLE  ALT=\"highlight%28x=-%281%2F8%29y%5E2%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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