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Advanced Math / Nonlinear functions Difficulty: Medium

gx=x2+55

What is the minimum value of the given function?

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Explanation

Choice B is correct. For a quadratic function defined by an equation of the form gx=ax-h2+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.