Which statement is true concerning the vertex and the axis of symmetry of g(x)=5x2−10x?

Complete the square: g(x) = 5x² − 10x = 5(x² − 2x) = 5[(x − 1)² − 1] = 5(x − 1)² − 5. In vertex form, the vertex is (1, −5), and the vertical axis of symmetry is x = 1. Therefore, choice A is correct.

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