Question

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

Explanation:

Step1: Recall reflection rule

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

Step2: Apply rule to point P

Given $P(-7,-4)$, substituting $x=-7$ and $y = - 4$ into the rule, we get $P'(-7,-(-4))$.

Step3: Simplify coordinates

$P'(-7,4)$.

Answer:

$P'(-7,4)$