STATEMENT-1: The curve $y = \frac{-x^2}{2} + x + 1$ is symmetric with respect to the line $x = 1$.\\
because\\
STATEMENT-2: A parabola is symmetric about its axis.\\
(A) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1\\
(B) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1\\
(C) Statement-1 is True, Statement-2 is False\\
(D) Statement-1 is False, Statement-2 is True