Answer
E
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 upwards.
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 upwards.
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 up. This exact graph is found in option E.
