p x + 57 = x 2 The given equation relates the value of x and its corresponding value of

Question

p x + 57 = x 2 The given equation relates the value of x and its corresponding value of p x for the function p . What is the minimum value of the function p ?

Accepted Answer

Choice B is correct. For a quadratic function defined by an equation of the form p x = a x - h 2 + k , where a , h , and k are constants and a &#62; 0 , the minimum value of the function is k . Subtracting 57 from both sides of the given equation yields p x = x 2 - 57 . This function is in the form p x = a x - h 2 + 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.

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