It is known that the quadratic function f (x) = AX2 + BX + C passes through points (0,1) and (1, - 5) and satisfies f (x) - f (- 2-x) 1, analytic expression of quadratic function 2, find the solution set of X when f (x) ≥ 0 That is to satisfy f (x) = f (- 2-x)

It is known that the quadratic function f (x) = AX2 + BX + C passes through points (0,1) and (1, - 5) and satisfies f (x) - f (- 2-x) 1, analytic expression of quadratic function 2, find the solution set of X when f (x) ≥ 0 That is to satisfy f (x) = f (- 2-x)


The first problem is: ∵ f (x) = f (- 2-x), ∵ f (0) = f (- 2) = 1, ∵ C = 1, 4a-2b + 1 = 1, ∵ B = 2A. ∵ f (1) = 5, ∵ a + B + 1 = - 5, ∵ a + 2A + 1 = - 5,