Statement 1: The curve y = \(-\frac{x^2}2 + x + 1\) is symmetric with respect to the line x = 1.
Statement 2: A parabola is symmetric about its axis.
(A) Statement 1 is True, Statement 2 is True; Statement 2 is a correct explanations 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.