3. Given the expression, H(m) = 28-3m² + bm, determine the following: a. The value(s) of b when the discriminant of H(m) is 400. b. If applicable, calculate the value(s) of its root(s). c. The value of the vertical intercept. d. The value for its line of symmetry. e. For your answers from part a to d above, sketch the graph of the function H(m).

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