Answer:
A'(-6, 8), B'(-1, 7), and C'(1, 5).
Explanation:
To translate the triangle by the vector (-3,4), we need to add -3 to the x-coordinates and 4 to the y-coordinates of each point:
A' = A + (-3, 4) = (-3, 4) + (-3, 4) = (-6, 8)
B' = B + (-3, 4) = (2, 3) + (-3, 4) = (-1, 7)
C' = C + (-3, 4) = (4, 1) + (-3, 4) = (1, 5)
So the new coordinates of the triangle are A'(-6, 8), B'(-1, 7), and C'(1, 5).