31. A transformed cosine function, given by g(x) = a cos 2 (2+ 30) + c (1) has a maximum value of 9 and a minimum value of 5. There is no reflection about the x-axis, so that a > 0. (a) 1 mark Determine the value of c. (a) (b) 1 mark Determine the value of a. (b) (c) 2 marks List the transformations that were applied to the parent function f(x) = cos x to obtain g (x). 32. 2 marks If the image of the point (a, b) under a transformation 2f[3(x + 4)] + 5 of f(x) is (6, 7),33. determine the values of a and b. 2 marks | Suppose that the ordered pairs {(0,2z + 1), (0,), (1,3z), (1,y + 2)} define a function. Deter- mine the values of x and y