To determine:

Graph of \(y=\sqrt{x−2}−1\) by applying appropriate transformation.

Firstly, we will draw graph of \(y=\sqrt{x}\) which is given by:Y1

now, we will draw graph of \(y=\sqrt{x−2}\) by shifting the graph of \(y=\sqrt{x}\) two units towards right.

So, the graph of \(y=\sqrt{x−2}\) is as follows:Y2

Now, we will draw graph of \(y=\sqrt{x−2}−1\) by shifting the graph of \(y=\sqrt{x−2}\) one unit downward along y axis.

The graph of \(y=\sqrt{x−2}−1\) is given by:Y3