Question

1. what are the coordinates of the image? (r_{x - axis}(1,6)) enter your answer.

Explanation:

Step1: Recall reflection rule

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

Step2: Apply the rule

Given the point $(1,6)$, after reflection over the $x$-axis, the $x$-coordinate is still $1$ and the $y$-coordinate becomes $- 6$.

Answer:

$(1,-6)$