Answer:
A'(8, -3)
Step-by-step explanation:
When the center of a dilation is not the origin, the location of a point A dilated about center C by scale factor k can be found as ...
A' = C + k(A -C) = kA +(1-k)C
That is, the distance from the center of dilation is multiplied by the scale factor.
For A(2, 3), k=3, C(-1, 6), the new point A' will be ...
A' = 3(2, 3) +(-2)(-1, 6) = (6, 9) +(2, -12)
A' = (8, -3)