Question

the figure below has a point marked with a large dot. first, translate the figure 6 units to the left. 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: Assume original point coordinates

Let the coordinates of the marked - point in the original figure be $(x,y)$.

Step2: Apply translation rule

Translation 6 units to the left means subtracting 6 from the x - coordinate. The new x - coordinate is $x - 6$, and the y - coordinate remains the same $y$. So the coordinates of the point in the final figure are $(x - 6,y)$.

Since the original coordinates of the marked - point are not given in the problem, we can only state the general rule. If the original point is $(a,b)$, then:

Answer:

Point in original figure: $(a,b)$
Point in final figure: $(a - 6,b)$