Question

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 y - axis

To reflect a point \((x,y)\) over the \(y\) - axis, we use the rule \((x,y)\to(-x,y)\). Given point \(E=(3, - 5)\), when we reflect it over the \(y\) - axis to get \(E'\), we substitute \(x = 3\) into the rule. So \(E'=(-3,-5)\).

Step2: Reflect over x - axis

To reflect a point \((x,y)\) over the \(x\) - axis, we use the rule \((x,y)\to(x,-y)\). Now we take the point \(E'=(-3,-5)\) and reflect it over the \(x\) - axis to get \(E''\). Substituting \(y=-5\) into the rule, we have \(E''=(-3,5)\).

Answer:

\((-3,5)\)