Let f(x) = x^2 and g(x) = 2(x-1)^2

a) The graph of g can be obtained from the graph of f using two transformations. Give a full geometric description of each of the two transformations.

b) The graph of g is translated by the vector (3 -2) to give the graph of h. The point (-1,1) on the graph of f is translated to the point P on the graph of h. Find the coordinates of P.

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