Question

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

Explanation:

Step1: Reflect over the x - axis

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

Step2: Reflect over the y - axis

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

Answer:

\((2,2)\)