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The graph of a quadratic function f(x) = ar+bx+c is subject to the following transfor- mations (in this order): (a) Translation of 2 units

 

The graph of a quadratic function f(x) = ar+bx+c is subject to the following transfor- mations (in this order): (a) Translation of 2 units to the left (b) Tranisation of 3 units upwards At the end of this sequence of transformations, we obtain the graph of the function g(x)=x+3x+3. Determine the function f(x).

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