Question 1032249
The base of the dish is the vertex of parabola.  Where to place the receiver would be the focus of the parabola.  Imagine or draw a parabola, concave upward, with the vertex at the origin.  Half the diameter at a HEIGHT of 2 feet gives the two points  (6,2) and (-6,2).  You do not know directrix and focus but you do not yet need them.


Standard form equation {{{y=a(x-h)^2+k}}} and for vertex at origin,  {{{y=ax^2}}}.  You want this in a slightly different form, using p for distance from vertex to either the focus or directrix.


{{{highlight(4py=x^2)}}}-------which is what you would find from deriving the equation if given the focus and directrix.


Use the known point about diameter and "height".
{{{4p*2=6^2}}}
{{{p=6*6/(4*2)}}}
{{{highlight(highlight(p=3/2))}}}


Put the receiver 1.5 feet from the vertex on the concave side of the dish.