Respuesta :

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