#### Answer

A

#### 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 $y=x^{2}-2$ is essentially the same as $y=x^{2}$ except that it is shifted $2$ units downwards.
We know that the equation of $y=x^{2}$ is a parabola that opens upwards with its vertex at the origin.
Therefore, we need to find a graph that is essentially the same as the graph of $y=x^{2}$ except that it is shifted two units down. This exact graph is found in option A.