(a) Find an equation of the tangent line to the parabola at the point (2,4).
(b) Find an equation of the normal line to at the point (2,4). (The normal line at a point is perpendicular to the tangent line at the point.) Where does this line intersect the parabola a second time?
(c) Find equations of the tangent line and normal line to at the point (0,0).
(d) Prove that for any point (a, b)
(0,0) on the parabola , the normal line intersects the graph a second time.
