f x = x 2 - 48 x + 2,304 What is the minimum value of the given function?

Question

Accepted Answer

The correct answer is 1,728 . The given function can be rewritten in the form f x = a x - h 2 + k , where a is a positive constant and the minimum value, k , of the function occurs when the value of x is h . By completing the square, f x = x 2 - 48 x + 2,304 can be written as f x = x 2 - 48 x + 48 2 2 + 2,304 - 48 2 2 , or f x = x - 24 2 + 1,728 . This equation is in the form f x = a x - h 2 + k , where a = 1 , h = 24 , and k = 1,728 . Therefore, the minimum value of the given function is 1,728 .

Question f-x-x-