Given the cost function C⁡(x)=3⁢x^2−12⁢x+7 , graph the function and identify the graph that correctly represents the cost based on the number of units produced, with the vertex indicating the minimum cost.

The coefficient of x² is positive, so the parabola opens upward. Completing the square gives C(x) = 3(x − 2)² − 5, so its vertex—and minimum cost—is (2, −5). Also, C(0) = 7, matching the point (0, 7) in choice B.

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