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Question
graph the image of u(5, -5) after a reflection over the x - axis.
Step1: Recall reflection rule
When reflecting a point $(x,y)$ over the $x - axis$, the rule is $(x,y)\to(x, - y)$.
Step2: Apply rule to point U
For point $U(5,-5)$, using the rule $(x,y)\to(x, - y)$, we get $(5,-(-5))=(5,5)$.
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The image of $U(5,-5)$ after reflection over the $x - axis$ is the point $(5,5)$. To graph it, start at the origin, move 5 units to the right along the $x - axis$ and 5 units up along the $y - axis$ and mark the point.