In translation 'a' units to left means we have subtract 'a' units from the X-coordinates and 'a' units to right that means we have to add 'a' units to X-coordinate.
Translation 'b' units up, that means add 'b' unit to Y-coordinate and translation 'b' unit down that means subtract 'b' unit from Y-coordinate.
Given coordinates are : A (-4, 5), B (-4, -1), and C (-1, 1)
Translated 3 units to the left and 2 units down. So here a = -3 and b =-2
A (-4, 5) -----> A'(-4-3, 5-2 ) -----> A'(-7,3)
B (-4, -1) -----> B'(-4-3, -1-2 ) -----> B'(-7,-3)
C (-1, 1) -----> C'(-1-3, 5-2 ) -----> C'(-4,3)
New coordinates are A'(-7,3), B'(-7,-3) and C'(-4,3)
So the answer is False.