Question

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 1

B'(-4, -1)

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)