For the function $\displaystyle g(x)=$:

a. Identify the basic function.

I believe it is the root function ($\displaystyle f(x)=$).

b. Identify all the transformations (in proper order) performed to $\displaystyle f(x)$ in order to attain $\displaystyle g(x)$.

Well, from my really crappy understanding of transformations, there's a vertical shift upward by 2. I believe that is it. It also has a horizontal reflection.

c. Sketch the graph of $\displaystyle g(x)$.

After putting it into my graphing calculator, it looks like it has a vertical and horizontal reflection.