(1 point) Let a, h, and k be arbitrary real numbers with a at O, and let f be the function given by the rule f(x) = a(x h)2 + k. Which of the following statements are true about f? Select all that apply. [3A. If a > 0, then f has a global maximum. C] B. The maximum value of f(x) is h. [30. An extreme value occurs at the point (h, k). [3 D. The graph of y = f(x) is a line. [3 E. The graph of y = f(x) is a parabola. OF. If a > 0, then f has aglobal minimum. [3 G. None of the above Next we use some calculus to develop familiar ideas from a different perspective. To start, treat a, h, and k as constants and compute f' (x). f'(x) = Find a critical value off. (This will depend on at least one of a, h, and k.) Critical value = Assume that a