Answer
See Graph I
![](https://gradesaver.s3.amazonaws.com/uploads/solution/b3a1a888-837a-4d03-9a00-f5f27258ca43/result_image/1506491273.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T020600Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=2905e391a30e259f90581bbf6c6d1a675751a1b4ca53b48bb028e10a8449cbb2)
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 = $[−2, \infty)$