Question

the figure below has a point marked with a large dot. first, reflect the figure across the y - 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

The marked point is 4 units left of the y-axis ($x=-4$) and 6 units below the x-axis ($y=-6$), so its coordinates are $(-4, -6)$.

Step2: Apply y-axis reflection rule

Reflecting a point $(x,y)$ across the y-axis uses the transformation $(x,y) \to (-x,y)$. Substitute $x=-4$, $y=-6$:
$(-(-4), -6) = (4, -6)$

Answer:

Point in original figure: $(-4, -6)$
Point in final figure: $(4, -6)$