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

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Accepted Answer

Key Explanation: Choice C is correct. A quadratic function in the form g(x) = a(x − h) 2 + k, where a, h, and k are constants, has a minimum value of k at x = h when a > 0. The given quadratic function can be rewritten as g(x) = 1(x − 0) 2 + 55, where h = 0 and k = 55. Therefore, the minimum value of the given function is 55. Distractor Explanations: Choice A is incorrect and may result from squaring the minimum value. Choice B is incorrect and may result from multiplying the minimum value by 2. Choice D is incorrect. This is the x-value at which the minimum value of g(x) occurs.

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