The axis of symmetry for the function f(x) = –2x2 + 4x + 1 is the line x = 1. Where is the vertex of the function located?

The vertex lies on the axis of symmetry, so its x-coordinate is 1. Substitute x = 1 into the function: f(1) = −2(1)² + 4(1) + 1 = 3. Therefore, the vertex is (1, 3), choice B.

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