## Precalculus (6th Edition) Blitzer

While it is possible that there are multiple ways of transforming $f$ to get $g$, one way is to first shift $f$ horizontally 2 units to the right, then reflect the result around the x-axis, and finally shift the result vertically 2 units up. To write in mathematical equations, we have $g(x)=-\sqrt {x-2}+2$