For this case we have to define function transformation that:
Let k> 0:
To graph
the graph is displayed k units up.
To graph
, the graph is displayed k units units down.
Let h> 0:
To graph
, the graph moves units to the right.
To graph
, the graph moves h units to the left.
We have ![y = - \sqrt [3] {x}](https://tex.z-dn.net/?f=y%20%3D%20-%20%5Csqrt%20%5B3%5D%20%7Bx%7D)
It moves 7 units up and 4 to the right.
So we have to:

The shifted graphic is:
![y = - \sqrt [3] {x-4} +7](https://tex.z-dn.net/?f=y%20%3D%20-%20%5Csqrt%20%5B3%5D%20%7Bx-4%7D%20%2B7)
ANswer:
![y = - \sqrt [3] {x-4} +7](https://tex.z-dn.net/?f=y%20%3D%20-%20%5Csqrt%20%5B3%5D%20%7Bx-4%7D%20%2B7)