We are given the following function:
![h(x)=\sqrt[]{x-3}+2](https://img.qammunity.org/2023/formulas/mathematics/college/sfmusro6gbhs3sn77dvm4i5o3f444jtjgg.png)
To do a translation in the direction of the y-axis we need to add the units we want to translate to the entire function, as follows:

Where "k" is a constant. If "k" is positive the graph is translated in upwards and is "k" is negative the function is translated downwards.
Therefore, since in the function we add +2, this means that the graph is translated 2 units up.
When we do a translation in the x-direction we use the following transformation:
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