Solve c A test program for grade 10 can generate quadratic functions in a standard form y = ax + bx + cwhere 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)?c) What is the probability that a quadratic function randomly generated by this program has- a minimum value?- has 2 x-intercepts?- has a minimum and two real x-intercepts?- has no x-intercepts given it has a maximum?

Given : y = ax2 + bx + c where, a = {-1,1,2}, b = {0,4}, c = {0, -1}

A test program for grade 10 can generate quadratic functions in a standard form y = where a, b, c are randomly selected from the following sets: a = {- 1,1, 2), b = (0, 4), a) Construct a tree diagram and show all possible quadratic functions generated b) How many of the functions in part (a) have a maximum value (i.e., downward c) What is the probability that a quadratic function randomly generatod by this pr - a minimum value? - has 2 x-intercepts?