Question

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

Explanation:

Step1: Find coordinates of point X

From the graph, point X has coordinates \((-6, -4)\) (since it's 6 units left on x - axis and 4 units down on y - axis).

Step2: Apply reflection over x - axis rule

The rule for reflecting a point \((x,y)\) over the x - axis is \((x, -y)\). So for point \(X(-6, -4)\), the x - coordinate remains the same, and the y - coordinate is negated.
So the new y - coordinate is \(-(-4)=4\), and the x - coordinate is still \(-6\).

Answer:

\((-6, 4)\)