ANSWER
![y = √(x - 2) - 3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/asb6tky23e8l7lsa8inuyplgmbviame43b.png)
EXPLANATION
The given equation is
![y = √(x)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/yu61j7oj9dtmcrlky8z0r38hzq7lmb4y1h.png)
This is the parent square root function.
If we apply the transformation;
![y = √(x - k) - c](https://img.qammunity.org/2020/formulas/mathematics/middle-school/i4636u3uobza3osk1bm81ubrh2uv2u6zxf.png)
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:
![y = √(x - 2) - 3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/asb6tky23e8l7lsa8inuyplgmbviame43b.png)