Question

question
point ( e ) is located at ( (5,3) ) 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 )?
answer
answer: ( (quad,quad) )

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 \(E=(5,3)\), after reflection over the \(y\) - axis, \(E'=(- 5,3)\).

Step2: Reflect over the x - axis

When reflecting a point \((x,y)\) over the \(x\) - axis, the rule is \((x,y)\to(x,-y)\). Now, for the point \(E'=(-5,3)\), after reflection over the \(x\) - axis, \(E''=(-5,-3)\)

Answer:

\((-5,-3)\)