find the coordinates of B' after a reflection after a reflection across the parallel lines; first across the line x = 2 and then across the y- axis.

Answer:
B'(-4, -1)
Step-by-step explanation:
Each reflection across x=k means the new x-coordinate is 2k-x.
Reflection across x=2:
(x, y) ⇒ (4-x, y)
Reflection of that across x=0:
(x, y) ⇒ (2·0 -(4-x), y) = (x-4, y)
The point is left-shifted by 4 units to ...
B'(-4, -1)