Answer:
(6, 9)
Step-by-step explanation:
A composition of transformations is generally evaluated right to left.
Application
Reflection across the y-axis changes the sign of the horizontal distance from the y-axis. That is, it changes the sign of the x-coordinate:
(-2, 5) ⇒ (2, 5) . . . . . reflection across the y-axis
Translation right 4 and up 4 adds 4 to each of the x- and y-coordinates:
(2, 5) ⇒ (2+4, 5+4) = (6, 9) . . . . . translation by (4, 4)
The image of (-2, 5) after the composition of transformations is (6, 9).
