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: $(-6, -2)$ point in final figure: $(-6, 2)$

Explanation:

Step1: Identify original point

Original marked point: $(-6, -2)$

Step2: Apply x-axis reflection rule

For reflection over x-axis, $(x,y) \to (x,-y)$. Substitute $x=-6, y=-2$:
$(-6, -(-2)) = (-6, 2)$

Answer:

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