Answer
See Graph I
Work Step by Step
For $y = x^2 - 1$,
when
$x$ = 2, $y$ = 3;
$x$ = 1, $y$ = 0;
$x$ = 0, $y$ = -1;
$x$ = -1, $y$ = 0;
$x$ = -2, $y$ = 3
As seen, $y = x^2 - 1$ is the vertical translation of $y = x^2$ down by 1 unit also.
Domain = $(-\infty, \infty)$
Range = $[-1, \infty)$