Answer:
A''=(8,0)
B''=(12,-5)
C''=(16,-4)
D''=(17,3)
Explanation:
Translations
The following points are given:
A=(2,3)
B=(6,-2)
C=(10,-1)
D=(11,6)
Two transformations will be applied:
T(x,y)->(x+12,y-8). It means: add 12 to x, subtract 8 to y
T(x,y)->(x-6,y+5). It means: subtract 6 to x, add 5 to y
Start with point A. First translation:
A'=(2+12,3-8)=(14,-5). Second translation:
A''(14-6,-5+5)=(8,0)
Now for point B. First translation:
B'=(6+12,-2-8)=(18,-10). Second translation:
B''(18-6,-10+5)=(12,-5)
Now for point C. First translation:
C'=(10+12,-1-8)=(22,-9). Second translation:
C''(22-6,-9+5)=(16,-4)
Finally for point D. First translation:
D'=(11+12,6-8)=(23,-2). Second translation:
D''(23-6,-2+5)=(17,3)