Solution
We have the original function defined as:
![f(x)=-\sqrt[]{x}](https://img.qammunity.org/2023/formulas/mathematics/college/wsc0wwwrbh5yvhfql5hmdv2xa8qzf8tcdj.png)
And we want to obtain the new red line so then we need to check how many units down and right the function moves:
And we have 3 units to the right and 2 units down then the answer is:
![h(x)=-\sqrt[]{x-3}-2](https://img.qammunity.org/2023/formulas/mathematics/college/lpjuwe9mmtibkj5d4ivluerj6t92blfqhd.png)
Then the final answer is:
h(x) = -sqrt(x-3) -2