The rule of the translation of point P(–5, –4) to point P′(–8, –7) is:
(x,y) -> (x - 3, y - 3).
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.
In this problem, from point P to point P', 3 was subtracted from both the x-coordinate and the y-coordinate, hence the rule is given by:
(x,y) -> (x - 3, y - 3).
More can be learned about translation concepts at https://brainly.com/question/4521517
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