If triangle ABC is translated 8 units to the right, each vertex will have its x-coordinate increased by 8.
Therefore, the new coordinates of the vertices of triangle ABC will be:
a = (-14+8, 1) = (-6, 1)
b = (-8+8, 1) = (0, 1)
c = (-12+8, 5) = (-4, 5)
So the image of triangle ABC after translating 8 units to the right is triangle A'B'C' with vertices A'(-6, 1), B'(0, 1), and C'(-4, 5).