A test program for grade 10 can generate quadratic functions in a standard form y = ax + bx + c where a, b, c are randomly selected from the following sets: a = {- 1,1, 2), b = (0, 4}, c [0, - 1} a) Construct a tree diagram and show all possible quadratic functions generated by this program. b) How many of the functions in part (a) have a maximum value (i.e., downward opening)?

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