Answer
The correct graph is $A$.
From the graph, the range of $y$ is $y\geq -3 $
Work Step by Step
The given function is
$y=\sqrt{x}-3$
Use the domain of $y,x\geq 0,$ to make a table of values.
Plot the ordered pairs.
Draw a smooth curve through the points, starting at $(0,-3)$.
Hence, the correct graph is $A$.
From the graph, the range of $y$ is $y\geq -3 $
