# Math Help - Transformations/Basic Functions

1. ## Transformations/Basic Functions

For the function $g(x)=$:

a. Identify the basic function.
I believe it is the root function ( $f(x)=$).

b. Identify all the transformations (in proper order) performed to $f(x)$ in order to attain $g(x)$.
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 $g(x)$.
After putting it into my graphing calculator, it looks like it has a vertical and horizontal reflection.

2. Hi BeSweeet

I think the basic function is correct. Then, it will change to :
1. f(x) = $\sqrt{-x}$ ------> the transformation needed is ....
2. f(x) = $-2\sqrt{-x}$ -----> the transformation needed is ....
3. f(x) = $-2\sqrt{-x}+2$-----> the transformation needed is ....