Final answer:
Translation involves moving a shape or point without changing its shape or orientation. To perform the translation, add the x and y components of the vector to the coordinates of the given points.
Step-by-step explanation:
A translation in mathematics involves moving a shape or point from one position to another without changing its shape or orientation. In this case, the translation is represented by the vector (x + 3, 4).
To perform the translation, you add the x and y components of the vector to the corresponding coordinates of the given points. For example, for point A(2, -3), the translated point would be A'(2 + 3, -3 + 4) = A'(5, 1).
The translated coordinates for points N(-3,-1) would be N'(-3 + 3, -1 + 4) = N'(0, 3).