A quadratic function is defined by f(x)=x^2-8x-4 . Which expression also defines f and best reveals the maximum or minimum of the function? Select the correct choice. A (x-4)^2+20 B x(x-8)-4 C (x-4)^2+12 D (x-4)^2-20

To determine which expression also defines the quadratic function \( f(x) = x^2 - 8x - 4 \) and best reveals the maximum or minimum of the function, we need to complete the square.Starting with the given function: First, we complete the square for the quadratic expression :1. Take the coefficient of , which is , divide it by 2, and square the result: 2. Add and subtract this square inside the function: 3. Rewrite the quadratic expression as a perfect square: Thus, the expression that also defines \( f(x) \) and best reveals the maximum or minimum of the function is: Therefore, the correct choice is:D \((x-4)^{2}-20\)