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 \(W(8,-8)\), when we reflect it over the \(y\) - axis, we change the sign of the \(x\) - coordinate. So, \(x = 8\) becomes \(x=-8\) and the \(y\) - coordinate remains the same (\(y = - 8\)). So the image of \(W(8,-8)\) after reflection over the \(y\) - axis is \(W'(-8,-8)\). To graph this point, we find the location on the coordinate plane where \(x=-8\) and \(y = - 8\), which is 8 units to the left of the \(y\) - axis and 8 units below the \(x\) - axis.

Answer:

The image of \(W(8,-8)\) after reflection over the \(y\) - axis is the point \((-8,-8)\), and it should be graphed at the coordinates \((-8,-8)\) on the given coordinate plane.