Answer:
[tex]A'=(1, 9), \\B'=(6,9),\\C'=(1,4)[/tex]
Step-by-step explanation:
Notice how [tex]\vec{v}[/tex] has a tail at (8,4) and a head at (2,2), which means the x-coordinate is translated 6 units to the left and the y-coordinate is translated 2 units down.
If [tex]\triangle ABC[/tex] were to be translated along this vector, its vertices should follow the vector.
Therefore, the new points of [tex]\triangle ABC[/tex] will be 6 units to the left of their initial x-coordinate and 2 units below their initial y-coordinate.
[tex]A(7, 11)\implies A'(1, 9), \\B(12, 11)\implies B'(6, 9), \\C(7, 6)\implies C'(1, 4)[/tex]
