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Advanced Math / Nonlinear functions Difficulty: Medium

px+57=x2

The given equation relates the value of x and its corresponding value of px for the function p . What is the minimum value of the function p ?

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Explanation

Choice B is correct. For a quadratic function defined by an equation of the form px=ax-h2+k, where a , h , and k are constants and a>0, the minimum value of the function is k . Subtracting 57 from both sides of the given equation yields px=x2-57. This function is in the form px=ax-h2+k, where a = 1 , h = 0 , and k = - 57 . Therefore, the minimum value of the function p is - 57 .

Choice A is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.