Question

a is the image of the point a after a reflection.
a(-4,2)→a(-4,-2)
over which axis was point a 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 over the \(y -\)axis, the rule is \((x,y)\to(-x,y)\).

Step2: Apply the rules to the given points

For point \(A(-4,2)\) and its image \(A'(-4,-2)\), the \(x -\)coordinate remains the same (\(-4=-4\)), and the \(y -\)coordinate changes sign (\(2\) becomes \(- 2\)). This matches the rule \((x,y)\to(x, - y)\) for reflection over the \(x -\)axis.

Answer:

\(x -\)axis