If the function f (x) = x2 + 2 (A-1) x + 2 is a decreasing function on (- ∞, 4], then the value range of real number a is () A. a≤-3B. a≥-3C. a≤5D. a≥5

If the function f (x) = x2 + 2 (A-1) x + 2 is a decreasing function on (- ∞, 4], then the value range of real number a is () A. a≤-3B. a≥-3C. a≤5D. a≥5

∵ f (x) = x2 + 2 (A-1) x + 2 = (x + A-1) 2 + 2 - (A-1) 2, its axis of symmetry is: x = 1-A ∵ function f (x) = x2 + 2 (A-1) x + 2 is a decreasing function on (- ∞, 4], so a is selected