Question

the figure below has a point marked with a large dot.
first, translate the figure 5 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

The marked point is at $(3, -4)$.

Step2: Apply left translation (x-axis)

Subtract 5 from the x-coordinate: $3 - 5 = -2$.

Step3: Apply up translation (y-axis)

Add 4 to the y-coordinate: $-4 + 4 = 0$.

Answer:

Point in original figure: $(3, -4)$
Point in final figure: $(-2, 0)$