12 points for! a figure in the coordinate plane is reflected across the line y= x+2 and then across the line y= x+4. what is the translation vector that describes the composition of the reflections?

  (x, y) ⇒ (x -2, y +2)

Step-by-step explanation:

Reflection across the line y = x+2 has the effect of interchanging x and y and translating by (-2, 2).

Reflection across the line y = x+4 has the effect of interchanging x and y and translating by (-4, 4).

The composition of these transformations is then ...

  (x, y) ⇒ ((x +2) -4, (y -2) +4) = (x -2, y +2)

the correct answer is the second option

entering that problem on the tube might get you an answer