Answer
A' (-8, 4)
Step-by-step explanation
When a figure, that is on the coordinates system is dilated (that is, enlarged or reduced) with respect to the origin, the new coordinates of its edges is simply a product of its old coordinates and the scale factor.
For this question, the coordinates of A is (-2, 1) and the dilation of the triangle ABC is by a scale factor of 4.
So, the new coordinates of A will be calculated thus
A (x, y) = A' (x × scale factor, y × scale factor)
A (-2, 1) = A' (-2 × 4, 1 × 4) = A' (-8, 4)
Hope this Helps!!!