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QUESTION IMAGE

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

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: Find original coordinates

The marked point in the original figure: Let's assume the grid. From the x - axis (horizontal), moving left from the origin (0,0), the x - coordinate is -7 (since each grid is 1 unit). From the y - axis (vertical), moving down from the origin, the y - coordinate is -4. So original coordinates: $(-7, - 4)$

Step2: Translate 7 units up

When translating a point $(x,y)$ $k$ units up, the new coordinates are $(x,y + k)$. Here, $x=-7$, $y = - 4$, $k = 7$. So new y - coordinate: $-4+7 = 3$. New coordinates: $(-7,3)$

Answer:

Point in original figure: $(-7, - 4)$
Point in final figure: $(-7, 3)$