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? answer attempt 1 out of 2 e( , )

Explanation:

Step1: Reflect over x - axis

When a point $(x,y)$ is reflected over the $x$-axis, the rule is $(x,y)\to(x, - y)$. Given point $E(-4,-2)$, after reflecting over the $x$-axis, $E'$ has coordinates $(-4,2)$ since $x=-4$ and $y = - 2$ becomes $-y=2$.

Step2: Reflect over y - axis

When a point $(x,y)$ is reflected over the $y$-axis, the rule is $(x,y)\to(-x,y)$. For point $E'(-4,2)$, after reflecting over the $y$-axis, $E''$ has coordinates $(4,2)$ since $x=-4$ becomes $-x = 4$ and $y = 2$ remains the same.

Answer:

$E''(4,2)$