Explanation:
If the vertices of the figure are A(-1,5), B(-1, -1) and C(-6, 2), the draw of the figure is:
Then, if we translate the figure by the vector (4, 2), the coordinates of the new figure will be:
A(-1, 5) ----> (-1, 5) + (4, 2) = ( - 1 + 4 , 5 + 2) = A'(3, 7)
B(-1, -1) ----> (-1, -1) + (4, 2) = ( -1 + 4, -1 + 2) = B'(3, 1)
C(-6, 2) ----> (-6, 2) + (4, 2) = (-6 + 4, 2 + 2) = C'(-2, 4)
Therefore, the figure after the translation is: