Question

graph the image of l(1, -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 \(L(1, - 8)\)

For the point \(L(1,-8)\), where \(x = 1\) and \(y=-8\), when we apply the reflection over the \(y\) - axis rule, we change the sign of the \(x\) - coordinate. So the new \(x\) - coordinate is \(-1\) and the \(y\) - coordinate remains \(-8\). So the image of \(L(1,-8)\) after reflection over the \(y\) - axis is \((-1,-8)\).

Answer:

The image of \(L(1,-8)\) after reflection over the \(y\) - axis is the point \((-1,-8)\). To graph it, we find the point with \(x=-1\) and \(y = - 8\) on the coordinate plane.