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 graph of function $r(x)=2\sqrt {x+2}$, shift the original horizontally 2 units to the left, then stretch the result vertically by a factor of 2, shown as the red curve in the figure.