Question

graph the image of s(-4, 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 \(S(-4,8)\)

For the point \(S(-4,8)\), when we reflect it over the \(y\) - axis, we change the sign of the \(x\) - coordinate. So, \(x=-4\) becomes \(-x = -(-4)=4\), and the \(y\) - coordinate remains the same (\(y = 8\)). So the image of \(S(-4,8)\) after reflection over the \(y\) - axis is \((4,8)\). To graph it, we find the point with \(x = 4\) and \(y = 8\) on the coordinate plane.

Answer:

The image of \(S(-4,8)\) after reflection over the \(y\) - axis is the point \((4,8)\), which is located at \(x = 4\) and \(y = 8\) on the coordinate grid.