First...let's get the transformations for this....this is always helpful...
The 'parent function " is the square root function
The negative out front reflects it across the x axis
The "0.5 " vertically compresses this by a factor of 1/2
The " (x - 3) " shifts this 3 units to the right of the parent function
Finally....the "+2" shifts this up 2 units
Here's the parent and the transformed functions :
https://www.desmos.com/calculator/srnse7dgs4