Respuesta :

The coordinates for A' is [tex](-3,6)[/tex]

Explanation:

Given that a triangle with point A has coordinate [tex](4,-8)[/tex]

It has a scale factor of [tex]-\frac{3}{4}[/tex]

We need to determine the coordinates for A'

The coordinates for A' can be determined by multiplying the scale factor with both the x and y coordinates of A

Let us consider the x - coordinate of A.

x - coordinate of A' = [tex]4\times(-\frac{3}{4} )[/tex]

                                =-3

Thus, the x - coordinate of A' is -3

Let us consider the y - coordinate of A.

y - coordinate of A' = [tex]-8\times(-\frac{3}{4} )[/tex]

                                = 6

Thus, the y - coordinate of A' is 6

Therefore, the coordinates of A' is [tex](-3,6)[/tex]