Translate triangle ABC up 3 and right 2 and then a reflection over the x-axis. A= -8,-5 B= -4,-5 C= -4,-3
After translating triangle ABC up 3 and right 2, the new coordinates would be:
A' = (-8+2, -5+3) = (-6, -2)
B' = (-4+2, -5+3) = (-2, -2)
C' = (-4+2, -3+3) = (-2, 0)
Then, reflecting the translated triangle over the x-axis, the new coordinates would be:
A'' = (-6, -(-2)) = (-6, 2)
B'' = (-2, -(-2)) = (-2, 2)
C'' = (-2, -(0)) = (-2, 0)
Therefore, the coordinates of triangle ABC after translating up 3 and right 2 and then reflecting over the x-axis are A'' = (-6, 2), B'' = (-2, 2), and C'' = (-2, 0).