Question

graph the image of d(4, -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 \(D(4,-8)\)

For the point \(D(4,-8)\), where \(x = 4\) and \(y=-8\). Using the rule \((x,y)\to(x, - y)\), we substitute \(y=-8\) into \(-y\). So \(-y=-(-8) = 8\). The new point is \((4,8)\).

Answer:

The image of \(D(4,-8)\) after a reflection over the \(x -\)axis is \(D'(4,8)\). To graph it, locate the point with \(x = 4\) and \(y = 8\) on the coordinate plane.