Answer
Refer to the curve in Black in Graph I
![](https://gradesaver.s3.amazonaws.com/uploads/solution/735d5951-edef-4c3f-a1b2-4c04209a90d6/result_image/1506956436.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T022429Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=c904fc636d3c63aa43949146af437d5dc3882a8611ab76ffc9e194732e0a3712)
Work Step by Step
For $y = -(x + 1)^3,$
when
$x = 1, y = -8;$
$x = 0, y = -1;$
$x = -1, y = 0;$
$x = -2, y = 1;$
$x = -3, y = 8$
As seen, $y = -(x + 1)^3$ is the horizontal translation of $y = x^3$ to the left by 1 unit and then reflected across the $x$-axis.
Domain = $(−\infty, \infty)$
Range = $(-\infty, \infty)$