Answer
See graph and explanations.
Work Step by Step
Step 1. Graph the function $f(x)=\sqrt x$ shown as the blue curve in the figure.
Step 2. To obtain the curve of function $g(x)=2\sqrt {x +1}-1$, first shift the original curve horizontally 1 unit to the left, then stretch the result vertically by a factor of 2, and finally shift the result vertically 1 unit down, shown as the red curve.