Question

write a rule for the reflection. (x,y)→( , )

Explanation:

Step1: Observe the transformation

When reflecting a point $(x,y)$ over the $x -$axis, the $x$-coordinate remains the same and the $y$-coordinate changes its sign.

Step2: Write the rule

The general rule for a reflection over the $x$-axis is $(x,y)\to(x, - y)$.

Answer:

$(x,y)\to(x, - y)$