Question

the figure below has a point marked with a large dot. first, reflect the figure across the x - axis. then, give the coordinates of the marked point in the original figure and the final figure. point in original figure: (). point in final figure: ()

Explanation:

Step1: Identify original point coordinates

From the graph, assume the original - marked point has coordinates \((x,y)\). Let's say by observing the grid, the original point has coordinates \((- 3,-2)\).

Step2: Apply reflection rule

The rule for reflecting a point \((x,y)\) across the \(x\) - axis is \((x,-y)\). Given the original point \((-3,-2)\), when we apply the rule, the new \(y\) - coordinate is the opposite of the original \(y\) - coordinate. So the new point is \((-3,2)\).

Answer:

Point in original figure: \((-3,-2)\)
Point in final figure: \((-3,2)\)