Answer
See below
Work Step by Step
1st step (black graph): The parent function: $y=x^5$
2nd step (green graph): Flipped over the x-axis. $y=-x^5$
3rd step (red graph): Translated 4 units up. $y=4-x^5$
Final step (blue graph): Translated 2 units to the right. $y=4-(x-2)^2$