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what is the image of (-4, -2) after a reflection over the x - axis?
answer attempt 2 out of 2
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Step1: Recall reflection rule
When reflecting a point $(x,y)$ over the $x - axis$, the rule is $(x,y)\to(x, - y)$.
Step2: Apply the rule
Given the point $(-4,-2)$, where $x=-4$ and $y = - 2$. After reflection over the $x - axis$, the $x$-coordinate remains the same, and the $y$-coordinate changes sign. So the new $y$-coordinate is $-(-2)=2$.
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$(-4,2)$