Question

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?
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answer attempt 1 out of 2
p(, )

Explanation:

Step1: Recall reflection over x - axis rule

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 for the reflection of a point \((x,y)\) over the \(x\) - axis is \((x,y)\to(x, - y)\).

Step2: Apply the rule to point \(P(4,2)\)

For the point \(P(4,2)\), the \(x\) - coordinate \(x = 4\) will stay the same, and the \(y\) - coordinate \(y = 2\) will become \(-y=- 2\) after reflection over the \(x\) - axis. So the coordinates of \(P'\) are \((4,-2)\).

Answer:

\((4,-2)\)