document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1041495>Question 1041495</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sketch the following questions. Involving parabola..\r<BR>\n" );
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document.write( "      A satellite dish has a shape called a paraboloid,where each cross-section is a parabola. Since radio signals (parallel to the axis) will bounce off the surface of the dish to the focus, the receiver should be placed at the focus. How far should a receiver be from the vertex, if the dish is 12 ft. across 4.5 ft. deep at 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 #656568 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=656568\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Examine a cross section, having vertex imagined as a minimum if on a cartesian system.  A point is ( 12/2, 4.5 ).  TThe vertex at the origin.  Recall, this is a parabola.\r<BR>\n" );
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document.write( "Change information into standard form equation for the parabola.\r<BR>\n" );
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document.write( "Find how far p, is the focus from the vertex, based on the typical model derived equation,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4py=%28x-0%29%5E2 ALIGN=MIDDLE  ALT=\"4py=%28x-0%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >;  this may require some care, but otherwise not too difficult.\r<BR>\n" );
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document.write( "Parabola with vertex as minimum, symmetry axis parallel to the y-axis, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=a%28x-h%29%5E2%2Bk ALIGN=MIDDLE  ALT=\"y=a%28x-h%29%5E2%2Bk\"   DISABLED_style= \"max-width:90%; height:auto;\" > as standard form; vertex is  (h,k).<BR>\n" );
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document.write( "Using given focus and directrix to derive an equation for a parabola having symmetry axis parallel to the y-axis will be of a form  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4p%28y-k%29=%28x-h%29%5E2 ALIGN=MIDDLE  ALT=\"4p%28y-k%29=%28x-h%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and the value p is how far the focus is from the vertex.  Look at and study your lesson on this. </SPAN>\n" );
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