Question

the figure below has a point marked with a large dot.
first, translate the figure 7 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: Determine original coordinates

Looking at the grid, the marked point is at \( x = -7 \) (7 units left of origin) and \( y = 1 \) (1 unit above x - axis). So original coordinates: \((-7, 1)\).

Step2: Apply translation (7 units up)

Translation up affects the y - coordinate. Add 7 to the y - coordinate: \( 1+7 = 8 \). x - coordinate remains - 7. So final coordinates: \((-7, 8)\).

Answer:

Point in original figure: \((-7, 1)\)
Point in final figure: \((-7, 8)\)