Given that f (x) is a quadratic function, G (x) = - x ^ 2-3, G (x) = f (x) is an odd function, X ∈ [- 1,2], the minimum value of F (x) is 1, find the analytic expression of F (x)

Given that f (x) is a quadratic function, G (x) = - x ^ 2-3, G (x) = f (x) is an odd function, X ∈ [- 1,2], the minimum value of F (x) is 1, find the analytic expression of F (x)

If the condition "g (x) = f (x) is an odd function" is changed to "g (x) - f (x) is an odd function"
From this condition, f (x) = - x ^ 2-3 + KX,
If x ∈ [- 1,2], the minimum value of F (x) is 1,
The formula is f (x) = - (x-k / 2) ^ 2 + K ^ 2 / 4-3,
When K / 2

G (x) = - x · x-3 f (x) is a quadratic function. When x ∈ [- 1,2], the minimum value of F (x) is 1 and f (x) + G (x) is an odd function, the expression of F (x) can be obtained

f(x)=(1/2)x^2

Given the quadratic function y = x2 + ax + 2, find the expression of the minimum value g (a) of X ∈ [1,2], and find the range of G (a)

When a ≤ - 4, GA = 2A + 6.2. When - 4 ＜ a ≤ - 2, GA = - & # 188; A2 + 2... 3. When a ≤ - 4, GA = 2A + 6.2
The answer to the second question is to take a as ×, GA as GX, and then make an image. It's better to draw a picture for this question