Question

graph the image of w(8, -8) after a reflection over the y-axis.

Explanation:

Step1: Recall reflection over y - axis rule

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

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

For the point \(W(8,-8)\), where \(x = 8\) and \(y=-8\), when we apply the reflection over the \(y\) - axis rule, we substitute \(x\) with \(-x\). So the new \(x\) - coordinate is \(-8\) and the \(y\) - coordinate remains \(-8\). So the image of \(W(8,-8)\) after reflection over the \(y\) - axis is \((-8,-8)\).

Answer:

The image of \(W(8, - 8)\) after reflection over the \(y\) - axis is the point \((-8,-8)\). To graph it, we plot the point with \(x=-8\) and \(y = - 8\) on the coordinate plane.