Which of the following accurately compares the functions,f(x)=3x^2 and g(x)=1/4(3(x+4))^2+6?

A. vertically compressed, shifted to the right 4 units, and shifted up 6 units
B. vertically stretched, shifted to the right 6 units, and shifted up 4 units
C. vertically stretched, shifted to the right 4 units, and shifted up 6 units
D. vertically compressed, shifted to the left 4 units, and shifted up 6 units