4x Complete the square to determine the maximum or minimum value of the function defined by the expression. -x^2-10x+14 A minimum value at 25 B maximum value at 39 C maximum value at -5 D minimum value at -39

To complete the square for the quadratic expression , we need to rewrite it in the form , where and are constants.Step 1: Factor out the negative sign from the quadratic term: Step 2: Complete the square inside the parentheses: The vertex form of the quadratic function is . The vertex of this parabola is at .Since the coefficient of the term is negative, the parabola opens downwards, indicating that the vertex represents the maximum value of the function.Therefore, the correct answer is:C) maximum value at