Question

n is the image of the point n after a reflection. n(4, 3) → n(-4, 3) over which axis was point n reflected? x - axis y - axis

Explanation:

Step1: Recall reflection rules

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

Step2: Apply the rules to the given points

For the point \(N(4,3)\) and its image \(N'(-4,3)\), we see that \(x = 4\) changes to \(x=-4\) and \(y = 3\) remains the same. This matches the rule \((x,y)\to(-x,y)\) which is the reflection over the \(y -\)axis.

Answer:

\(y-\)axis