Question: Use a system of linear equations to find the quadratic function f (x) = ax2 + bx + c that satisfies the given conditions. Solve

Use a system of linear equations to find the quadratic function f (x) = ax2 + bx + c that satisfies the given conditions. Solve the system using matrices.
1. f (1) = 1, f (2) = −1, f (3) = −5
2. f (1) = 2, f (2) = 9, f (3) = 20

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