Using translation concepts, it is found that the coordinates of the image of the origin under the same translation are given by:
3. (-2,1).
What is a translation?
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
A translation maps A(1,2) onto A'(-1,3), hence the rule is given by:
(x,y) -> (x - 2, y + 1).
Then the image of the origin (0,0) is given by:
(0,0) -> (0 - 2, 0 + 1) = (-2,1)
Which means that option 3 is correct.
More can be learned about translation concepts at https://brainly.com/question/4521517
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