Which statement is true concerning the vertex and axis of symmetry of h(x)=−2x2+8x?

For h(x) = −2x² + 8x, the vertex’s x-coordinate is −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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