Question

the figure below has a point marked with a large dot. first, translate the figure 8 units to the right and 6 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

The marked point is at $(-8, 1)$ on the grid.

Step2: Apply right translation (x-axis)

Add 8 to the x-coordinate: $-8 + 8 = 0$

Step3: Apply down translation (y-axis)

Subtract 6 from the y-coordinate: $1 - 6 = -5$

Answer:

Point in original figure: $(-8, 1)$
Point in final figure: $(0, -5)$