Question

the figure below has a point marked with a large dot.
first, translate the figure 6 units down.
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: Determine the coordinates of the original point

From the graph, the original point is at \((-6,7)\).

Step2: Apply the translation rule

When translating a point \(6\) units down, we subtract \(6\) from the \(y\) - coordinate. The rule for translation is \((x,y)\to(x,y - 6)\).
For the point \((-6,7)\), substituting \(x=-6\) and \(y = 7\) into the rule:
\(y-6=7 - 6=1\)
The new \(y\) - coordinate is \(1\) and the \(x\) - coordinate remains \(-6\).

Answer:

Point in original figure: \((-6,7)\)
Point in final figure: \((-6,1)\)