Question

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

Explanation:

Step1: Determine the coordinates of point E

From the graph, point E has coordinates \((4,-6)\).

Step2: Apply the reflection rule over the x - axis

The rule for reflecting a point \((x,y)\) over the x - axis is \((x,-y)\).
For point \(E(4,-6)\), after reflection, the x - coordinate remains the same (\(x = 4\)), and the y - coordinate changes its sign. So the new y - coordinate is \(-(-6)=6\).

Answer:

The coordinates of the image of point E after reflection over the x - axis are \((4,6)\).