To obtain the coordinates of the vertices of triangle X'Y'Z' after the translation of 2 units left and 1 unit up, we simply subtract 2 from the x-coordinates of the vertices of triangle XYZ and also add 1 to the y-coordinates, as follows:
and lastly:
Therefore, the vertices of triangle X'Y'Z' after the translation of 2 units left and 1 unit up are:
X' (-3, -1)
Y' (4, -2)
Z' (0, -4)