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 (red graph): Stretched by a factor of 3. $y=-3x^2$
4th step (orange graph): Shifted 5 units up: $y=-3x^2+5$
Final step (blue graph): Shifted 1 unit to the left. $y=-3(x+1)^2+5$
