Problem

Sketch the graph of the function, not by plotting points, but by starting with the graph of a standard function and appliging transformations. $y=2-\sqrt{x+1}$

Answer

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Answer

\(\boxed{\text{The graph of } y = 2 - \sqrt{x+1} \text{ is obtained}}\)

Steps

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 ：\(\boxed{\text{The graph of } y = 2 - \sqrt{x+1} \text{ is obtained}}\)

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