Question

graph the image of u(-6, -7) 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 given point

For the point \(U(-6,-7)\), here \(x=-6\) and \(y = - 7\). Using the rule \((x,y)\to(x,-y)\), we substitute \(y=-7\) into \(-y\). So \(-y=-(-7) = 7\).

Answer:

The image of \(U(-6,-7)\) after reflection over the \(x -\)axis is \((-6,7)\).