Answer
1st step (black graph): The parent function: $y=\sqrt x$
2nd step (green graph): Reflected over the y-axis: $y=\sqrt {-x}$
3rd step (blue graph): Shifted 2 units to the right: $y=\sqrt {2-x}=\sqrt{-(x-2)}$
The domain is $(-\infty,2]$
The range is $[0,\infty)$
Work Step by Step
The domain is a horizontal span from the function's smallest value of x to the function's largest value of x.
The range is a vertical span from the function's smallest value of f(x) to the function's largest value of f(x).
