Final answer:
The object translated by (4, -5, 8) moved 4 units to the right, 5 units down, and 8 units deeper. Displacement includes direction and magnitude, whereas distance measures the total path covered without considering direction.
Step-by-step explanation:
The student's question is about the movement of an object after it has been translated by a certain amount. The translation is given as (4, -5, 8), which represents the vector components of the movement in a three-dimensional coordinate system. To describe the movement in terms of left, right, up, down, deeper, and shallower, we interpret the vector components as follows:
- The object moved 4 units to the right since the first component is positive.
- The object moved 5 units down because the second component is negative.
- The object moved 8 units deeper because the third component is positive and represents a movement deeper into the space or screen.
Regarding displacement and distance, it's important to understand that displacement includes both magnitude and direction, while distance is only concerned with how much ground is covered, regardless of the direction. Displacement is the shortest path between the starting and ending point, and it is a vector quantity.