Question

A translation maps the point B(3, 1) to the point B'(5,5).The translation can be represented by(X + 8, y + 4)0 (x + 2, Y + 6)O (X + 2, y + 4)(X + 8, y + 6)

Answer 1

Step-by-step explanation

A translation from one point to another can be represented by:

`X(x,y)\to X^(\prime)(x+a,y+b)`

This means that to find the representation of the translation given, we can subtract the coordinates of the preimage from the image.

That is:

`\begin{gathered} B^(\prime)-B \\ \Rightarrow(5,5)-(3,1) \\ (5-3,5-1) \\ \Rightarrow(2,4) \end{gathered}`

Therefore, the translation can be represented by: