Question

the figure below has a point marked with a large dot.
first, translate the figure 4 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: Find original coordinates

The original point has \(x = -5\) and \(y = 5\). So the coordinates are \((-5,5)\).

Step2: Translate down 4 units

When translating a point \((x,y)\) down \(k\) units, the new \(y\)-coordinate is \(y - k\). Here \(k = 4\), so the new \(y\)-coordinate is \(5-4 = 1\), and \(x\)-coordinate remains \(-5\). The new coordinates are \((-5,1)\).

Answer:

Point in original figure: \((-5,5)\)
Point in final figure: \((-5,1)\)