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