Which statement is true concerning the vertex and axis of symmetry of h of x is equal to negative 2 x squared plus 8 x ?

For h(x) = −2x² + 8x, the x-coordinate of the vertex is x = −b/(2a) = −8/(2·−2) = 2. Substituting x = 2 gives h(2) = −2(2²) + 8(2) = 8, so the vertex is (2, 8). The axis of symmetry is the vertical line x = 2, making choice C correct.

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