Question

the figure below has a point marked with a large dot. next, translate the figure 8 units to the right. 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 coordinates

From the graph, the marked point in the original figure is at \( (4, 0) \) (assuming the x - axis and y - axis scales, we check the position of the dot. Let's assume the grid is such that the x - coordinate of the dot is 4 and y - coordinate is 0).

Step2: Apply translation

A translation 8 units to the right means we add 8 to the x - coordinate. The y - coordinate remains the same. So for the final figure, the x - coordinate is \( 4 + 8=12 \) and the y - coordinate is 0.

Answer:

Point in original figure: \( (4, 0) \)
Point in final figure: \( (12, 0) \)