Answer
D
Work Step by Step
According to the rule of vertical translations, it is known that the graph of $y=f(x)-c$ is essentially the same as $y=f(x)$ except that it is shifted $c$ units downwards.
Using this logic, it can be deduced that the graph of $y=\sqrt x-3$ is essentially the same as $y=\sqrt x$ except that it is shifted $3$ units downwards.
We know that the graph of $y=\sqrt x$ is a curve that starts at the origin and moves to the right with a negative rate of change of gradient.
Therefore, we need to find a graph that is essentially the same as the graph of $y=\sqrt x$ except that it is shifted three units down. This exact graph is found in option D.
