The rule for the translation from LMN to L'M'N' is:
(x,y) -> (x + 3, y + 1).
What is a translation?
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, we have that each vertex of LMN was:
- Shifted 3 units right, hence x -> x + 3.
- Shifted 1 unit up, hence y -> y + 1.
Thus the rule for the translation from LMN to L'M'N' is:
(x,y) -> (x + 3, y + 1).
More can be learned about translation concepts at https://brainly.com/question/4521517
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