Step 1 :Start with the graph of the standard function \(y = -\sqrt{x}\)
Step 2 :Apply a horizontal shift of 1 unit to the left to get the graph of \(y = -\sqrt{x+1}\)
Step 3 :Apply a vertical shift of 2 units up to get the graph of \(y = 2 - \sqrt{x+1}\)
Step 4 :\(\boxed{\text{The graph of } y = 2 - \sqrt{x+1} \text{ is obtained}}\)