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, the marked point is at $(-6, -2)$.

Step2: Apply x-axis reflection rule

Reflecting a point $(x,y)$ over the x-axis gives $(x, -y)$. Substitute $x=-6$, $y=-2$:
$(-6, -(-2)) = (-6, 2)$

Answer:

Point in original figure: $(-6, -2)$
Point in final figure: $(-6, 2)$