can you please help me with this

Question

Square WXYZ has vertices W (3, –3), X (3, –6), YY (6, –6), and Z (6, –3). Square W'X'Y'Z' is the image of square WXYZ after a reflection over the y-axis followed by a translation of 3 units right. What are the coordinates of Z'?

1. a. (0, –6)
2. b. (–3, –3)
3. c. (9, 3)

Answer 1

A reflection across the y-axis changes a point from (x,y) to (-x, y), so it changes point Z from (6, -3) to (-6, -3). Translating a point (x,y) three units to the right adds 3 to the x-coordinate, so (x,y) becomes (x+3,y). So Z' = (-6+3, -3) = (?, ?). Can you finish it?