Answer
Refer to the curve in Black in Graph I
![](https://gradesaver.s3.amazonaws.com/uploads/solution/27fd5823-514b-41cb-af67-9693dea48964/result_image/1506958735.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T012118Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=4405abb854fe5127d96c126fa4bae3290e68bd74c79c2f42598b0db60177d219)
Work Step by Step
For $f(x) = \sqrt{x + 2}$
when
$x = 7, y = 3;$
$x = 2, y = 2;$
$x = -1, y = 1;$
$x = -2, y = 0$
As seen, $f(x) = \sqrt{x + 2}$ is the horizontal translation to the left by 2 units of $f(x) = \sqrt{x}$.
Domain = $[−2, \infty)$
Range = $[0, \infty)$