(higher 1 Mathematics) we know that f (x) is a quadratic function, and f (o) = - 1, f (+ 1) = f (x) - 2x + 2, then the expression of F (x) is___ Given that f (x) is a quadratic function, and f (o) = - 1, f (x + 1) = f (x) - 2x + 2, then the expression of F (x) is___

(higher 1 Mathematics) we know that f (x) is a quadratic function, and f (o) = - 1, f (+ 1) = f (x) - 2x + 2, then the expression of F (x) is___ Given that f (x) is a quadratic function, and f (o) = - 1, f (x + 1) = f (x) - 2x + 2, then the expression of F (x) is___

When x = 0 is f (+ 1) = f (x) - 2x + 2, it can be written as: F (+ 1) = - 1 + 2 = 1
Similarly, when x = 2, f (2) = 3,
Let f (x) = ax ^ 2 + BX + C, then: - 1 = C, 1 = a + B + C, 3 = 4A + 2B + C
To solve the equations, a = 2, B = - 2, C = - 1
So: F (x) = 2x ^ 2-2x-1
The solution to the supplementary problem is the same as this one