What is the equation of the quadratic function with a vertex at 2 comma negative 25 and an x -intercept at 7 comma 0 ?

The vertex’s x-coordinate, 2, is the axis of symmetry, so it lies halfway between the two x-intercepts. If one intercept is 7, the other must be −3. Thus the function has the form f(x) = a(x + 3)(x − 7). At x = 2, the product is (5)(−5) = −25, matching the vertex’s y-coordinate, so a = 1. The equation is f(x) = (x + 3)(x − 7), choice B.

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