Looking at the red graph, we can see that the square root function was translated 3 units down and 3 units left, so we can write the following equation:
![f(x)=\sqrt[]{x+3}-3](https://img.qammunity.org/2023/formulas/mathematics/college/9r4gocc2bae41f5ep3s5gx8fqo9zjkg05l.png)
Then, for the green graph, we have a translation of 3 units up and 3 units right, so the equation is:
![g(x)=\sqrt[]{x-3}+3](https://img.qammunity.org/2023/formulas/mathematics/college/4e6jafkl9m19cxr33yzghu11yvepq5du53.png)