Problem

Problem

The graph of f(x)=x2−2x+2f(x) = x^2 - 2x + 2 is translated by (3−5)\begin{pmatrix}3\\-5\end{pmatrix} to form g(x)g(x). Find g(x)g(x) in the form g(x)=ax2+bx+cg(x) = ax^2 + bx + c.

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