Answer:
(1/2, -8 1/2)
Step-by-step explanation:
The enlargement transformation maps point A to one that is 3 times as far from the center of enlargement. If the center is C, then we have the relation ...
(A' -C) = 3(A -C)
__
Solving for C gives ...
A' -C = 3A -3C
2C = 3A -A' . . . . . . . add 3C-A'
C = (3A -A')/2
Filling in the given coordinates for A and A', we find the center of enlargement to be ...
C = (3(1, -4) -(2, 5))/2 = (3 -2, -12 -5)/2 = (1, -17)/2
C = (1/2, -8 1/2)
The center of enlargement is (1/2, -8 1/2).
