Final answer:
The translation rule T<-2,8>(X) moves a point or shape X 2 units left and 8 units up in a two-dimensional plane, altering its position without changing its shape or orientation.
Step-by-step explanation:
The translation rule T<-2,8>(X) describes a movement of the point or shape X in a two-dimensional plane. In this case, the rule specifies that X should be translated 2 units to the left (in the negative direction on the x-axis) and 8 units up (in the positive direction on the y-axis).
This type of movement is referred to as a 'translation' in geometric terms and alters the position of X without changing its shape or orientation.
For example, if the original coordinates of X are (x, y), the translated coordinates would be (x - 2, y + 8).