Beginning with the graph of f(x) = x2, what transformations are needed to form g(x) = 1/2 (x+4)^2 -3?

A) The graph of g(x) is narrower than f(x) and is shifted to the right 4 units and down 3 units.

B)The graph of g(x) is narrower than f(x) and is shifted to the left 4 units and down 3 units.

C) The graph of g(x) is wider than f(x) and is shifted to the left 4 units and down 3 units.

D) The graph of g(x) is wider than f(x) and is shifted to the right 4 units and down 3 units.