Explanation
Labeled the given triangle as shown below:
The coordinates of triangle ABC are:
A(-4, -2)
B(0, -4)
C(2, 2)
The translation of the triangle 4 units to the left and 3 units down will be given as:
A(-4, -2) → A'(-8, -5)
B(0, -4) → B'(-4, -7)
C(2, 2) → C'(-2, -1)
So, the diagram of the triangle after a translation of 4 units to the left and 3 units down is shown below:
