Question

the figure below has a point marked with a large dot.
first, translate the figure 5 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 is at \( (4, -2) \) (by reading the x and y axes: x=4, y=-2).

Step2: Apply translation (up 5 units)

Translating a point \( (x, y) \) up by 5 units changes the y - coordinate: new y = \( -2 + 5 = 3 \), x remains 4. So final coordinates are \( (4, 3) \).

Answer:

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