Answer
See Graph I
Work Step by Step
For $y = x^2 − 2$,
when
$x = 2, y = 2;$
$x = 1, y = -1;$
$x = 0, y = -2;$
$x = -1, y = -1;$
$x = -2, y = 2$
As seen, $y = x^2 − 2$ is the vertical translation of $y = x^2$ down by 2 units also.
Domain = $(-\infty, \infty)$
Range = $[−2, \infty)$