Gerald is testing a computer graphics program. He needs to insert a parabolic shape by transforming the quadratic parent function, f(x) = x2. Gerald needs the parabolic shape to open downward, stretch vertically by a factor of 2, shift right by 3 units, and shift down by 4 units. Which transformed function should Gerald enter into the computer graphics program to achieve this result?
g(x) = –2(x – 3)2 – 4
g(x) = 2(x – 3)2 – 4
g(x) = –2(x + 3)2 – 4
g(x) = 2(x + 3)2 – 4