What are the coordinates of the vertex of the parabola y = x2 - 2x - 1?

For y = x² − 2x − 1, the vertex’s x-coordinate is −b/(2a). Here a = 1 and b = −2, so x = 1; substituting gives y = 1² − 2(1) − 1 = −2. The vertex is (1, −2), choice D.

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