Question

The point (3, 9) is reflected over the
-axis and then reflected over the
-axis. What is the location of the reflected point?

Answer 1

Let's analyze the transformations step by step.

1. **Reflection over the y-axis**: When a point \((x, y)\) is reflected over the y-axis, the x-coordinate changes its sign, while the y-coordinate remains the same. Thus, the point \((3, 9)\) reflects to:
\[
(-3, 9)
\]

2. **Reflection over the y-axis again**: If we reflect the point \((-3, 9)\) over the y-axis once more, we again change the sign of the x-coordinate:
\[
(3, 9)
\]

So after reflecting the point (3, 9) over the y-axis and then over the y-axis again, the final location of the reflected point is \((3, 9)\).