With a parallel translation, point A (2; 3; 5) goes to point B (-1; 4; 6). to what point does point C (2; -2; 0) go with this transfer?

Let’s deal with this task.
Parallel transfer is defined by the formulas:
x` = x + a
y` = y + b
z` = z + c
Since with a parallel translation, point A (2; 3; 5) goes to point B (-1; 4; 6)
Means:
-1 = 2 + a
4 = 3 + b
6 = 5 + c
We solve the equations:
a = -2-1
b = 4-3
c = 6-5
We get answers:
a = -3
b = 1
c = 1

This parallel transfer is specified by the formulas:
x` = x-3
y` = y + 1
z` = z + 1
Therefore, point C (2; -2; 0) will move to a point with coordinates:
x` = 2-3
y` = -2 + 1
z` = 0 + 1
We get answers:
x` = -1
y` = -1
z` = 1

Answer: Point C goes to point (-1; -1; 1)