Question

first, translate the figure 7 units down. then, give the coordinates of the marked point in the original figure and the final figure.

Explanation:

Step1: Identify original - point coordinates

By observing the graph, assume the marked - point in the original figure has coordinates $(x_1,y_1)$. Let's say the marked - point in the original figure has coordinates $(- 3,5)$.

Step2: Apply the translation rule

When translating a point $(x,y)$ $7$ units down, the new $y$ - coordinate is $y-7$ and the $x$ - coordinate remains the same. So for the point $(x_1,y_1)=(-3,5)$, the new coordinates $(x_2,y_2)$ are calculated as follows: $x_2=x_1=-3$ and $y_2=y_1 - 7=5 - 7=-2$.

Answer:

Point in original figure: $(-3,5)$
Point in final figure: $(-3,-2)$