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8-33.
  1. For each set of points given below, write a possible equation for a quadratic function in standard form. Homework Help ✎

    1. (–3, 0) and,

    2. (–3, 0), (2, 0), and (3, –12)

These are the x-intercepts, so work backwards by using the Zero Product Property to write an equation in factored form.

y = 2x2 + 5x – 3

See part (a).

Now substitute in the coordinates of the point (3, −12) to solve for a.