In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
triangle (diagram)
Step 02:
transformations:
original points:
point 1 (-4 , -2)
point 2 (0 , -4)
point 3 (2 , 2)
final points:
translations:
4 units to the left:
(x, y) ===> (x - 4 , y)
point 1 (-4 , -2) ===> (- 4 - 4, -2)
(-8 , -2)
point 2 (0 , -4) ===> (0 - 4, - 4)
( -4 , -4)
point 3 (2 , 2) ===> (2 - 4, 2)
(-2 , 2)
3 units down:
(x, y) ===> (x , y - 3)
point 1 (-8 , -2) ===> (-8, - 2 - 3)
(-8 , -5)
point 2 ( -4 , -4) ===> (-4 , - 4 - 3)
(-4 , -7)
point 3 (-2 , 2) ===> (-2 , 2 - 3)
(-2 , -1)
The answer is:
final points:
point 1 (-8 , -5)
point 2 (-4, -7)
point 3 (-2, -1)