Question

graph the image of p(4, 1) after a reflection over the x - axis.

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 to point P

Given point $P(4,1)$, after reflection over the $x - axis$, the $x$-coordinate is still $4$ and the $y$-coordinate becomes $- 1$. So the image of $P$ is $P'(4,-1)$.

Answer:

The image of point $P(4,1)$ after reflection over the $x - axis$ is the point $(4,-1)$. To graph it, find the point on the coordinate - plane where $x = 4$ and $y=-1$.