Question

point ( e ) is located at ( (3,-5) ) on the coordinate plane. point ( e ) is reflected over the ( y )-axis to create point ( e ). point ( e ) is then reflected over the ( x )-axis to create point ( e ). what ordered pair describes the location of ( e )?

Explanation:

Step1: Reflect over the \(y\)-axis

When reflecting a point \((x,y)\) over the \(y\)-axis, the rule is \((x,y)\to(-x,y)\). Given \(E=(3, - 5)\), then \(E'=(-3,-5)\).

Step2: Reflect over the \(x\)-axis

When reflecting a point \((x,y)\) over the \(x\)-axis, the rule is \((x,y)\to(x,-y)\). Since \(E'=(-3,-5)\), then \(E''=(-3,5)\).

Answer:

\((-3,5)\)