The minimum of the graph of a quadratic function is located at (–1, 2). The point (2, 20) is also on the parabola. Which function represents the situation?

A quadratic with vertex (−1, 2) can be written in vertex form as f(x) = a(x + 1)² + 2. Since (2, 20) is on the parabola, substitute x = 2 and f(x) = 20: 20 = 9a + 2, so a = 2. Therefore, the function is f(x) = 2(x + 1)² + 2, choice C.

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