Question

the figure below has a point marked with a large dot.
first, translate the figure 8 units to the left and 7 units down.
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 $(5, 6)$.

Step2: Apply left translation (x-axis)

Subtract 8 from the x-coordinate: $5 - 8 = -3$

Step3: Apply down translation (y-axis)

Subtract 7 from the y-coordinate: $6 - 7 = -1$

Answer:

Point in original figure: $(5, 6)$
Point in final figure: $(-3, -1)$