Question

point A has coordinates of (-7, 2) . It is reflected across the y-axis and then translated four units to the left and five units down. What are the coordinates of its final image?

Answer 1

1. Reflection across the y axis means you make the x coordinate the opposite sign of what it currently is.
So (-7, 2) becomes (7, 2)
2. Translate 4 units to the left. Subtract 4 from the x coordinate because you are going left.
So (7, 2) becomes (3, 2)
3. Translate 5 units down. Subtract 5 from the y coordinate because you are going down

Final answer: (3, -3)