Question

if p = (-2,7), find: ( r_{x\text{-axis}} (p) ) ((?, ))

Explanation:

Step1: Recall reflection over x - axis rule

The rule for reflecting a point \((x,y)\) over the \(x\) - axis is \((x,-y)\).

Step2: Apply the rule to point \(P = (-2,7)\)

For the point \(P=(-2,7)\), where \(x=-2\) and \(y = 7\). Using the reflection rule over the \(x\) - axis, we keep the \(x\) - coordinate the same and change the sign of the \(y\) - coordinate. So the new \(x\) - coordinate is \(-2\) and the new \(y\) - coordinate is \(-7\).

Answer:

\((-2,-7)\)