Question

the figure below has a point marked with a large dot. first, translate the figure 7 units to the left 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: Identify original point coordinates

From the grid, the marked point is at $(3, -2)$.

Step2: Apply left translation (x-axis)

Subtract 7 from the x-coordinate: $3 - 7 = -4$

Step3: Apply up translation (y-axis)

Add 4 to the y-coordinate: $-2 + 4 = 2$

Answer:

Point in original figure: $(3, -2)$
Point in final figure: $(-4, 2)$