( P1.26)- Suppose that you want to find values for a, b, and c such that the parabola y = ax^2 + bx + c passes through the points (1, 1), (2, 4), and (−1, 1). Find (but do not solve) a system of linear equations whose solutions provide values for a, b, and c. How many solutions would you expect this system of equations to have, and why?
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