ANSWER
[tex]y = \sqrt{x - 2} - 3[/tex]
EXPLANATION
The given equation is
[tex]y = \sqrt{x} [/tex]
This is the parent square root function.
If we apply the transformation;
[tex]y = \sqrt{x - k} - c[/tex]
Then the parent function will shift c units down and k units to the right.
When we the given function 3 units down and 2 units right the equation becomes:
[tex]y = \sqrt{x - 2} - 3[/tex]
