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To translate a figure, each point of the original figure is moved a certain distance in a specified direction. In this case, we are translating triangle ABC 8 units up.
The translation will move each point of the triangle up by 8 units. The new coordinates will be:
A' = (-6, -2 + 8) = (-6, 6)
B' = (2, -2 + 8) = (2, 6)
C' = (2, -7 + 8) = (2, 1)
Therefore, the new triangle A'B'C' formed by translating triangle ABC 8 units up will have points A' (-6, 6), B' (2, 6), and C' (2, 1).