Let the minimum value of function f (x) = x2-4x-4 in the interval [T, t + 1] (t belongs to R) be g (T), and try to find the function analytic expression of G (T) Thank you And write the minimum value of G (T).

Let the minimum value of function f (x) = x2-4x-4 in the interval [T, t + 1] (t belongs to R) be g (T), and try to find the function analytic expression of G (T) Thank you And write the minimum value of G (T).

1) Y = (X-2) ^ 2-8 vertex coordinates (2, - 8) axis of symmetry x = 2
2) When t > 2, the minimum value is g (T) = T ^ 2-4t-4
3) When T2, that is 1

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