Answer
See below.
Work Step by Step
1st step (black graph): The parent function: $y=x^2$
2nd step (green graph): Flipped over the x-axis. $y=-x^2$
3rd step (orange graph): Stretched by a factor of 3. $y=-3x^2$
4th step (red graph): Shifted by 1 unit up. $y=-3x^2+1$
Final step (blue graph): Translated by 2 units to the left. $y=-3(x+2)^2+1$
