Respuesta :

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)