Answers should be given as exact or to 3 significant figures,

The graph of crosses the x-axis at the points with coordinates (-3, 0) f(x) = ax^2 + bx + c and (5, 0).

a) Find the equation of the axis of symmetry.

The graph crosses the y-axis at the point with coordinates (0, 6)

b) Find the value of c.

c) Find the values of a and b, showing your process.

d) Find the coordinates of the vertex.