Answer: Choice A. (-2,1)
Step-by-step explanation:
The notation
means we apply the dilation to some point (x,y) to move it to
. Each coordinate has been multiplied by 4 which is the scale factor. This only works when we center the dilation around the origin. The "O" in
refers to "origin". It's not the number zero.
So to go from preimage to image, we multiply by 4. To go in reverse, we divide by 4.
G' is at (-8,4). Divide each coordinate by 4 to get (-2,1) which is where point G is located.