solution a = 1
b = -4
c = 0 ;
∴ ∴ the analytic formula of the parabola for the y = x2-4x;
(2) the parabola y = x2 - 4x and x-axis of the intersection of the other point of the coordinates of the c (4, 0), connect EM;
∴ radius of ⊙ M is 2, i.e. OM=DM=2;
∵ ED, EO are tangent to ⊙ M,
∴ EO=ED, △EOM??EDM;
∴Squadrilateral EOMD=2S△OME=2× OM?OE=2m; set the coordinate of the point D as (x0,y0), p>
∵S△DON=2S△DOM=2× OM×y0=2y0,
when S quadrilateral EOMD=S△DON,i.e., 2m=2y0,m=y0;
∵m=y0,ED‖x-axis,
∵ED is the tangent line,
∴ the coordinates of point D is (2,2);
∵ P is on the line ED, so let the coordinates of point P be (x,2),
∵ P is on the parabola,
∴ 2 = x2-4x,
Solve x = 2 ± root 6 ;
∴ P (2 + root 6,2) or P (2 - root 6 ,2) is the required.