f x = x + 7 2 + 4 The function f is defined by the given equation. For what

Question

f x = x + 7 2 + 4 The function f is defined by the given equation. For what value of x does f x reach its minimum?

Accepted Answer

The correct answer is - 7 . For a quadratic function defined by an equation of the form f x = a x - h 2 + k , where a , h , and k are constants and a &#62; 0 , the function reaches its minimum when x = h . In the given function, a = 1 , h = - 7 , and k = 4 . Therefore, the value of x for which f x reaches its minimum is - 7 .

Question f-x-x-