Respuesta :

Answer:

A' = (-1, -1)

Step-by-step explanation:

Rule for the dilation of any point A(x, y) about the origin by a factor of k is given by the rule,

A(x, y) → A'(kx, ky)

From the graph attached,

Coordinates of point A are (-3, -3) and it is dilated by a scale factor of [tex]\frac{1}{3}[/tex] about the origin then the coordinates of the image point A' will be,

A(-3, -3) → [tex]A'(-3\times \frac{1}{3},-3\times \frac{1}{3})[/tex]

             → A'(-1. -1)

Therefore, coordinates of A' = (-1, -1) is the answer.