Which of the following best describes the transformation that occurs when changing an equation from f(x)=x^2+1 to f(x)=x−3)^2+1?

A)The graphed function would shift 3 units to the right but otherwise have the same shape.

B) The graphed function would shift 3 units to the left and would be half as wide.

C) The graphed function would shift 3 units to the right and would be half as wide.

D) The graphed function would shift 3 units to the left but otherwise have the same shape.

C) The graphed function would shift 3 units to the right and would be half as wide.