What is the monotone decreasing interval of the function y = x Λ 2-2x + 3?

What is the monotone decreasing interval of the function y = x Λ 2-2x + 3?

y=x²-2x+1+2
=(x-1)²+2
The opening is upward and the axis of symmetry x = 1 decreases to the left
So the minus interval is (- ∞, 1)