Question

a triangle with vertices at A (-1,1), B(-2,1) C(-1,4) is translated. the image of vertex A has coordinate at (3,-1) determine the coordinate of either the image of vertex B or the image of Vertex C

Answer 1

For this case we have the following vertices:
A (-1,1) --------> A '(3, -1)
B (-2.1)
C (-1,4)
We note that the translation rule is:
(x, y) -----------> (x + 4, y-2)
Applying the translacion rule we have:
B (-2, 1) -----------> (-2 + 4, 1-2) ------> B '(2, -1)
C (-1, 4) -----------> (-1 + 4, 4-2) ------> C '(3, 2)
Answer:
The image of vertex B or the image of Vertex C are:
B '(2, -1)
C '(3, 2)