Answer
See Graph I
![](https://gradesaver.s3.amazonaws.com/uploads/solution/d6153d9c-b5f7-4533-b14c-12bca129054e/result_image/1506492107.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240908%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240908T001900Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=a3e990cc0b6e1835ce3117d434927f295b890934ec261c833b9da97e8b35cdcc)
Work Step by Step
For $y = x^2 + 2,$
when
$x = 2, y = 6;$
$x = 1, y = 3;$
$x = 0, y = 2;$
$x = −1, y = 3;$
$x = −2, y = 6$
As seen, $y = x^2 + 2$ is the vertical translation of $y = x^2$ up by 2 units also.
Domain = $(−\infty, \infty)$
Range = $[2, \infty)$