Question

graph the image of ( q(-5,-8) ) after a reflection over the ( x )-axis.

Explanation:

Step1: Recall the reflection rule

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

Step2: Apply the rule to the point \(Q(-5,-8)\)

For the point \(Q(-5,-8)\), here \(x=-5\) and \(y = - 8\). Using the rule \((x,y)\to(x,-y)\), we substitute \(y=-8\) into \(-y\). So \(-y=-(-8)=8\). The \(x -\)coordinate remains \(x=-5\).

Answer:

The image of \(Q(-5,-8)\) after reflection over the \(x -\)axis is \(Q'(-5,8)\).