Question

the figure below has a point marked with a large dot. first, translate the figure 6 units to the right and 4 units up. 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: Find original coordinates

The marked point in the original figure: From the grid, the x - coordinate (horizontal) is -4 (since it's 4 units left of the origin), and the y - coordinate (vertical) is -6 (since it's 6 units down from the origin). So original coordinates: $(-4, -6)$.

Step2: Apply translation

To translate 6 units right, add 6 to the x - coordinate: $-4 + 6 = 2$. To translate 4 units up, add 4 to the y - coordinate: $-6 + 4 = -2$. So the final coordinates are $(2, -2)$.

Answer:

Point in original figure: $(-4, -6)$
Point in final figure: $(2, -2)$