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Question
reflections as functions quick check
the coordinate p(-2,7) is reflected over the y - axis. state the coordinate of p. (1 point)
p(2, - 7)
p(2,7)
p(7,2)
p(-2,-7)
Step1: Recall reflection rule
When a point $(x,y)$ is reflected over the $y$-axis, the $x$-coordinate changes sign and the $y$-coordinate remains the same.
The original point is $P(-2,7)$.
Step2: Apply the rule
For $x=-2$ and $y = 7$, after reflection over the $y$-axis, the new $x$-coordinate is $-(-2)=2$ and the $y$-coordinate is still $7$. So the new point $P'$ is $(2,7)$.
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$P'(2,7)$