Answer
Refer to the curve in Black in Graph I
![](https://gradesaver.s3.amazonaws.com/uploads/solution/ae173bfc-2382-4405-9e45-d76f6ba76ee9/result_image/1506943023.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T014255Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=dc5b61f0934a47a64c896c4cc6c710d7c3e565ad5638e6a78d95d61c38b7086b)
Work Step by Step
For $y = (x + 2)^2,$
when
$x = 0, y = 4;$
$x = -1, y = 1;$
$x = -2, y = 0;$
$x = -3, y = 1;$
$x = -4, y = 4$
As seen, $y = (x + 2)^2$ is the horizontal translation of $y = x^2$ to the left by 2 units as well.
Domain = $(−\infty, \infty)$
Range = $[0, \infty)$