Question

reflect (8, - 4) across the x - axis. then reflect the result across the x - axis again. what are the coordinates of the final point?

Explanation:

Step1: Recall reflection rule

When reflecting a point $(x,y)$ across the $x - axis$, the rule is $(x,y)\to(x, - y)$. For the point $(8,-4)$, after the first reflection across the $x - axis$, we change the sign of the $y -$coordinate. So, $(8,-4)\to(8,4)$.

Step2: Reflect the new - point again

Applying the same reflection rule $(x,y)\to(x, - y)$ to the point $(8,4)$. Changing the sign of the $y -$coordinate of $(8,4)$, we get $(8,-4)$.

Answer:

$(8,-4)$