The graph of x² is flipped over x-axis and is narrowed down by a factor of 3.
So, now the expression graph will be - 3x²
Next, it is shifted to left by 4 units.
So, now the expression will be - 3(x - 4)²
Finally the graph is shifted up by 4 units,
So, now the graph will be: - 3(x - 4)² + 4
Thus, the answer is option D