Question

The point A(x, y) is reflected across the x-axis to point B. Point B is reflected across the y-axis. What are the coordinates of point B'? A. (x, y) B. (–x, y) C. (x, –y) D. (–x, –y)

Answer 1

(-x-y)

Explanation:

Answer 2

The transformed point B' is: (-x, -y)

which agrees with option "D" from your list of possible solutions.

Explanation:

In a reflection across the x-axis, the x coordinate stays the same, while the y-coordinate adopts its opposite. That is, from y it becomes "-y". Therefore, now the point (x, y) got transformed into (x, -y).

In the second step, this new point is reflected across the y-axis. Then , in such reflection, the y-coordinate stays the same, while the x-coordinate gets transformed into its opposite (x becomes "-x". So for our case, the point (x, -y) now gets transformed into (-x, -y).