ANSWER
EXPLANATION
A translation from one point to another can be represented by:
[tex]X(x,y)\to X^{\prime}(x+a,y+b)[/tex]This means that to find the representation of the translation given, we can subtract the coordinates of the preimage from the image.
That is:
[tex]\begin{gathered} B^{\prime}-B \\ \Rightarrow(5,5)-(3,1) \\ (5-3,5-1) \\ \Rightarrow(2,4) \end{gathered}[/tex]Therefore, the translation can be represented by:
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