Answer
The ordered triple represented by point C is $(-4,5,-6)$
To plot the point D $(5,-4,6)$ on the graph, we can move 5 units in the +x-direction, 4 units in the -y direction, and 6 units in the +z-direction.
We can see point D on the graph.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/eeb53b5c-6233-4140-a56e-de0858f1d599/result_image/1556942282.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T013019Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=62c000ed6939088bbcf448a689d91a1b46b2f9bda3be4845b3c2b5f893b286bc)
Work Step by Step
On the graph in the book, we can see that point C is reached by moving 4 units in the -x direction, 5 units in the +y direction, and 6 units in the -z direction.
The ordered triple represented by point C is $(-4,5,-6)$
To plot the point D $(5,-4,6)$ on the graph, we can move 5 units in the +x-direction, 4 units in the -y direction, and 6 units in the +z-direction.
We can see point D on the graph.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/eeb53b5c-6233-4140-a56e-de0858f1d599/steps_image/small_1556942282.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T013019Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=aa72328e8572d7cc2be876a80209656b4a3814e7acece03016fd0bd33078af66)