Question

the point a(-2,-4) reflected across the x-axis.

Explanation:

Step1: Recall the reflection rule

When a point \((x,y)\) is reflected across the \(x -\)axis, the rule is \((x,y)\to(x, - y)\).

Step2: Apply the rule to the given point

For the point \(A(-2,-4)\), here \(x=-2\) and \(y = - 4\). Using the rule \((x,y)\to(x,-y)\), we substitute \(x=-2\) and \(y=-4\) into the formula. So the \(x -\)coordinate remains \(-2\), and the \(y -\)coordinate becomes \(-(-4)=4\).

Answer:

\(A'(-2,4)\) (the green - colored option)