The function f (x) defined on R satisfies f (x + 2) = 2F (x). When x ∈ [0,2], f (x) = x2-2x, then when x ∈ [- 4, - 2], the minimum value of F (x) is___ .

The function f (x) defined on R satisfies f (x + 2) = 2F (x). When x ∈ [0,2], f (x) = x2-2x, then when x ∈ [- 4, - 2], the minimum value of F (x) is___ .

The function f (x) defined on R satisfies f (x + 2) = 2F (x), let x ∈ [- 4, - 2], then f (x) = 12F (x + 2) = 14F (x + 4), because x + 4 ∈ [0,2], when x ∈ [0,2], f (x) = 12F (x + 2) = 14F (x + 4) = 14 [(x + 4) 2-2 (x + 4)] = 14 (x2 + 6x + 8) = 14 [(x + 3) 2-1], X ∈ [- 4, - 2] when x = - 3, the minimum value of F (x) is - 14 The case is: - 14