Answer
Refer to the curve in Black in Graph I
![](https://gradesaver.s3.amazonaws.com/uploads/solution/494d3e20-caea-473b-8de7-a9dfe687dffa/result_image/1506942469.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T013227Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=029e70a120c3d20716d4dada269e6b47fce04b93ab764f160d8f899b66b4fa58)
Work Step by Step
For $y = (x - 4)^2,$
when
$x = 6, y = 4;$
$x = 5, y = 1;$
$x = 4, y = 0;$
$x = 3, y = 1;$
$x = 2, y = 4$
As seen, $y = (x - 4)^2$ is the horizontal translation of $y = x^2$ to the right by 4 units as well.
Domain = $(−\infty, \infty)$
Range = $[0, \infty)$
Refer to the curve in Black in Graph I
![](https://gradesaver.s3.amazonaws.com/uploads/solution/494d3e20-caea-473b-8de7-a9dfe687dffa/steps_image/small_1506942469.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T013227Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=3f6f5aca62cca011a8fbf3f12e2f6362fba81e72726b7075df68f2a3e0bec657)