Answer:
Option B. ( x + 2, y - 1 ) is the correct answer.
Step-by-step explanation:
First of all, we have to write the coordinates of vertices of both triangles and then compare the respective vertices to find the rule,
So the vertices are:
A(-4,2) , B(-3,4) and C(-1,1)
A'(-2,1), B'(-1,3) and C'(1,0)
By comparing respective vertices we can observe that
A(-4,2) => (x+2,y-1) => A'(-2,1)
B(-3,4) => (x+2,y-1) => B'(-1,3)
C(-1,1) => (x+2,y-1) => C'(1,0)
Hence,
Option B. ( x + 2, y - 1 ) is the correct answer.