ANSWER
EXPLANATION
Given that
X (-2, 1)
Y (-4, -3)
Z (0, -2)
The transformation rule of the triangle is given as
(x, y) ----------------> (x - 1, y + 3)
From, the given transformation rule, we can now find the new coordinates
X (-2, 1) --------------> X' (-2 -1, 1 + 3)
X(-2, 1 ----------------> X' (-3, 4)
Y(-4, -3) -----------------> Y'(-3-1, -3+1)
Y(-4, -3)-------------------> Y' (-4, -2)
Z(0, -2) --------------------Z'(0-1, -2+3)
Z(0, -2) -------------------> Z'(-1, 1)
Therefore the new coordinates of the triangles are
X' (-3, 4)
Y' (-4, - 2)
Z' (-1, 1)
