f(x) is a quadratic function of the form f(x) = x2 + bx + c, d < x < e, where b, c, d, e . The graph of y = f(x) is shown. There are endpoints at (-3, 6) and (4, 6).

Write down the y-intercept of y = f(x). [1 mark] Write down the values of d and e. [1 mark] The x-intercepts are at (-2,0) and (3,0). Write down the solutions to the equation f(x) = 0 and find the values of b and c. [3 marks] The minimum value of f(x) occurs at Point P where x = 0.5. Find the minimum value of f(x). [2 marks]