Question: Suppose that the three points (1, - 5), (- 1, 1), and (2, 7) lie on the parabola p(x) = ax2 + bx + c.

Suppose that the three points (1, - 5), (- 1, 1), and (2, 7) lie on the parabola p(x) = ax2 + bx + c.
(a) Determine a linear system of three equations in three unknowns that must be solved to find a, b, and c.
(b) Solve the linear system obtained in part (a) for a, b, and c.

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