The point (2,6) is translated using the formula: (-a+2x,-b+2y). Then the final point is (-16,-6)
It means that:
if x = 2,
-a + 2x = -16
Solving for a, we get:
-a + 2(2) = -16
-a = -16 - 4
-a = -20
a = 20
At the same way, if y=6,
-b + 2y = -6
Solving for b, we get:
-b + 2(6) = -6
-b = -6 - 12
b = 18
So, the formula is (-20 + 2x, -18 + 2y)
Then, the point (18, -8) under the same translation is:
( -20 + 2(18) , -18 + 2(-8) )
( -20 + 36 , -18 - 16)
(16, -34)
