Question

the figure below is reflected over y - axis. what are the coordinates of the image of point d after this transformation?

Explanation:

Step1: Determine the original coordinates of point D

From the graph, the coordinates of point D are \((-8,0)\).

Step2: Apply the reflection rule over the y - axis

The rule for reflecting a point \((x,y)\) over the y - axis is \((x,y)\to(-x,y)\).
For point \(D(-8,0)\), when we apply the rule \(x=-8\), then \(-x = 8\) and \(y = 0\) remains the same.

Answer:

The coordinates of the image of point D after reflection over the y - axis are \((8,0)\)