Question

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

Step2: Apply left translation (x-axis)

Subtract 6 from the x-coordinate: $5 - 6 = -1$.

Step3: Apply down translation (y-axis)

Subtract 8 from the y-coordinate: $6 - 8 = -2$.

Answer:

Point in original figure: $(5, 6)$
Point in final figure: $(-1, -2)$