Question

the figure below has a point marked with a large dot. first, translate the figure 8 units to the right and 6 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

Assume the grid has x and y axes. From the figure, the marked point in original: let's say original x - coordinate is -6 (left of origin), y - coordinate is -4 (below origin). So original coordinates \((-6, -4)\).

Step2: Apply translation

Translation: 8 units right (add 8 to x - coordinate) and 6 units up (add 6 to y - coordinate).
New x: \(-6 + 8 = 2\)
New y: \(-4 + 6 = 2\)
So final coordinates \((2, 2)\).

Answer:

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