to a):

According to the text of the question

Compare the co-efficients and solve the system of equations for p and q:

You should come out with p = -4 and q = 2 (the negative solution of q is not allowed).

Thus the quadratic function has the equation:

to b): Determine the vertex of the parabola by completing the square.

to c) Determine the zeros of the function and consequently those intervals where y < 0.