Final answer:
The translation described moves the triangle five units to the right and three units up on the coordinate plane.
Step-by-step explanation:
The question is asking for the description of the translation of a triangle on a coordinate plane. A translation occurs when a figure is moved a certain distance in a specific direction without changing its shape or orientation.
Given the movement described in the question, triangle A B C is shifted 5 units to the right and 3 units up to form triangle A prime B prime C prime.
Therefore, to form the image, the pre-image moved five units right and three units up, which matches the description of the translation.