Question

what are the coordinates of the image of vertex p after a reflection of $r_{x - axis}(x,y)$? p() p(-7,-4) s(4,-4) q(-7,-10) r(4,-10)

Explanation:

Step1: Recall reflection rule

The rule for reflecting a point $(x,y)$ over the $x -$axis is $(x,-y)$.

Step2: Apply rule to point P

Given $P(-7,-4)$, when reflected over the $x -$axis, the $x$-coordinate remains the same and the $y$-coordinate changes sign. So $x=-7$ and $y$ becomes $-(-4) = 4$.

Answer:

$P'(-7,4)$