Question

graph the image of k(-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 \(K(-1,8)\)

For the point \(K(-1,8)\), where \(x = - 1\) and \(y=8\). Using the reflection rule, we change the sign of the \(x\) - coordinate. So the new \(x\) - coordinate is \(-(-1)=1\) and the \(y\) - coordinate remains \(8\). So the image of \(K(-1,8)\) after reflection over the \(y\) - axis is \(K'(1,8)\). To graph this, we find the point with \(x = 1\) and \(y = 8\) on the coordinate plane.

Answer:

The image of \(K(-1,8)\) after reflection over the \(y\) - axis is the point \((1,8)\) (which should be graphed at the location with \(x = 1\) and \(y = 8\) on the given coordinate grid).