g(x) = x 2 + 55 What is the minimum value of the given function?

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Accepted Answer

Choice B is correct. For a quadratic function defined by an equation of the form g(x) = a(x − h) 2 + k, where a, h, and k are constants and a > 0, the minimum value of the function is k. In the given function, a = 1, h = 0, and k = 55. Therefore, the minimum value of the given function is 55. Choice A is incorrect. This is the value of x for which the given function reaches its minimum value, not the minimum value of the function. Choice C is incorrect and may result from conceptual or calculation errors. Choice D is incorrect and may result from conceptual or calculation errors.

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