Consider the parabola y' = 12r. (a) Find the focus F and the directrix Lo of the parabola, and show that the point P = (6,6v2) is on the parabola. (b) Find the length D of the line L1 from F to P. (c) Find a formula for the line _ tangent to the parabola at P. (d) Determine the x intercept @ of L, and then show that the length D found in (b) equals the distance from F to