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

By observing the graph, the marked - point in the original figure has coordinates $(4, - 7)$.

Step2: Apply reflection rule

The rule for reflecting a point $(x,y)$ across the $y$ - axis is $(-x,y)$. For the point $(4, - 7)$, when we apply the reflection rule, we change the sign of the $x$ - coordinate. So, $x = 4$ becomes $x=-4$ and $y=-7$ remains the same. The coordinates of the reflected point are $(-4, - 7)$.

Answer:

Point in original figure: $(4, - 7)$
Point in final figure: $(-4, - 7)$