Question

point e is located at (-4, -2) on the coordinate plane. point e is reflected over the x - axis to create point e. point e is then reflected over the y - axis to create point e. what ordered pair describes the location of e?

Explanation:

Step1: Reflect over the x - axis

When reflecting a point \((x,y)\) over the \(x\) - axis, the rule is \((x,y)\to(x, - y)\).
Given \(E(-4,-2)\), after reflection over the \(x\) - axis, \(E'(-4,2)\).

Step2: Reflect over the y - axis

When reflecting a point \((x,y)\) over the \(y\) - axis, the rule is \((x,y)\to(-x,y)\).
Since \(E'(-4,2)\), after reflection over the \(y\) - axis, \(E''(4,2)\).

Answer:

\((4,2)\)