document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1059942>Question 1059942</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3y2 = 24x (three y square = 24x) please help me know What is the vertex,  focus, directrix and axis of symmetry of this equation of a PARABOLA?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #674996 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</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=674996\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3y^2=24x\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y%5E2=24x ALIGN=MIDDLE  ALT=\"3y%5E2=24x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28y-0%29%5E2=24%28x-0%29 ALIGN=MIDDLE  ALT=\"3%28y-0%29%5E2=24%28x-0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "That is the form which might be arranged if deriving the equation from parabola of known focus and known directrix.  Vertex would be  (0,0).  Axis of Symmetry would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=0 ALIGN=MIDDLE  ALT=\"y=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "You want one further adjustment to YOUR equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F3%293%28y-0%29%5E2=%281%2F3%2924%28x-0%29 ALIGN=MIDDLE  ALT=\"%281%2F3%293%28y-0%29%5E2=%281%2F3%2924%28x-0%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=%28y-0%29%5E2=8%28x-0%29 ALIGN=MIDDLE  ALT=\"%28y-0%29%5E2=8%28x-0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--------conforming to the format  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-k%29%5E2=4p%28x-h%29 ALIGN=MIDDLE  ALT=\"%28y-k%29%5E2=4p%28x-h%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The meaning of p is the distance of the vertex from either directrix or focus.  Notice here that p is a POSITIVE value.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4p=8 ALIGN=MIDDLE  ALT=\"4p=8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<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;\" ><BR>\n" );
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document.write( "This means the focus is  (0,2) and the directrix is <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;\" >.\r<BR>\n" );
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document.write( "See here for helpful lessons on using Distance Formula for the Definition of Parabola to derive equation:\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF=\"https://www.youtube.com/watch?v=M8LGsQMwwj4\">Use definition to derive parabola equations.</a>\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF=\"https://www.youtube.com/watch?v=Wworlx39KfQ\">Same idea, different orientation</a> </SPAN>\n" );
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