The so-called "shark fin" piecewise function consists of two quadratic polynomials: x² +1 on [0, 1] and ax²+bx+c on [1,2]. The first and second quadratic pieces must meet at the point (1,2). The second quadratic must also go through the point (2, 1). The slope of the second quadratic at z = 1 is 0. Set up and solve a system of equations to find the second quadratic.

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