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(

)
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 $P(-7,-4)$, using the rule, the $x -$coordinate remains the same and the $y -$coordinate changes sign. So $P(-7,-4)\to P'(-7,4)$.

Answer:

$P'(-7,4)$