document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1037089>Question 1037089</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A giant parabolic dish has a diameter of 400 meters and a depth of 80 meters. find an equation in the form that describes a cross section of this dish.<BR>\n" );
document.write( "if the receiver is located at the focus, how far should it be from the vertex? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #651809 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39623)</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=651809\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Cross section is a parabola shape.  Imagine the vertex at the Origin, and this vertex as a minimum.\r<BR>\n" );
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document.write( "Radius is half of the diameter, being radius of 200.  \"Depth\" becomes there distance of 80 meters.  This is a cartesian point,  (200,80).  Standard Form can start as  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=a%28x-0%29%5E2%2B0 ALIGN=MIDDLE  ALT=\"y=a%28x-0%29%5E2%2B0\"   DISABLED_style= \"max-width:90%; height:auto;\" >,  the two 0 values because the vertex is (0,0), the Origin as picked here.  This more simply is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=ax%5E2 ALIGN=MIDDLE  ALT=\"y=ax%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Use the point on the rim of the cross section to find coefficient, a.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=y%2Fx%5E2 ALIGN=MIDDLE  ALT=\"a=y%2Fx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=80%2F200%5E2 ALIGN=MIDDLE  ALT=\"a=80%2F200%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=80%2F40000 ALIGN=MIDDLE  ALT=\"a=80%2F40000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=2%2F1000 ALIGN=MIDDLE  ALT=\"a=2%2F1000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=1%2F500 ALIGN=MIDDLE  ALT=\"a=1%2F500\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Finished equation for the cross section is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=%281%2F500%29x%5E2%29 ALIGN=MIDDLE  ALT=\"highlight%28y=%281%2F500%29x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "You can find the focus using this video presentation's information as help:<BR>\n" );
document.write( "<a  rel=nofollow HREF=\"https://www.youtube.com/watch?v=M8LGsQMwwj4\">Deriving Equation for Parabola using given Focus and Directrix</a> </SPAN>\n" );
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