Statement I: The curve y=−2x2+x+1 is symmetric with respect to the line x=1.
Statement II: A parabola is symmetric about its axis.
(1) Statement I is true, Statement II is true; Statement II is a correct explanation for Statement I
(2) Statement I is true, Statement II is true; Statement II is not a correct explanation for Statement I
(3) Statement I is true, Statement II is false
(4) Statement I is false, Statement II is true