An xy "Path Known" Problem (Solution)

Problem 2: A particle moves along a path described by the equation:  y² = 4x + 1 (in feet)
Do the following:
(a)  Plot this curve.
If y = +3 ft when x = 2 ft, and at this point v_x = 3 fps and a_x = 4 fps², determine:
(b)  v_y.
(c)  a_y.
(d)  The angle between the v and a vectors..