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Question
point p is located at (4,2) on the coordinate plane. point p is reflected over the x-axis to create point p. what ordered pair describes the location of p? answer attempt 1 out of 2 p ( , )
Step1: Recall the rule for reflecting over the x - axis
When a point \((x,y)\) is reflected over the \(x\) - axis, the \(x\) - coordinate remains the same, and the \(y\) - coordinate changes its sign. The formula is \((x,y)\to(x, - y)\).
Step2: Apply the rule to the given point
Given the point \(P=(4,2)\), where \(x = 4\) and \(y=2\). After reflection over the \(x\) - axis, the \(x\) - coordinate is still \(x = 4\), and the \(y\) - coordinate becomes \(y=- 2\).
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\(P'(4,-2)\)