If the parent function is f(x) = x2 and its transformed function is g(x) = 2(x − 1)2 + 2, how is the graph of g(x) transformed from the graph of its parent function?

a)stretch, shift along the y–axis, and shift along the x–axis
b)shift along the x–axis and the y–axis
c)reflection only
d)stretch along the y–axis and reflection through the origin