Question

the figure below has a point marked with a large dot.
first, translate the figure 8 units to the right and 5 units down.
then, give the coordinates of the marked point in the original figure and the final figure.
your answer
point in original figure:
point in final figure: (3, -2)

Explanation:

Step1: Determine the original coordinates

By observing the graph, the coordinates of the marked point in the original figure is \((- 5,3)\).

Step2: Apply the translation rule

The translation rule is \((x,y)\to(x + 8,y-5)\).
For the \(x\)-coordinate: \(-5+8 = 3\)
For the \(y\)-coordinate: \(3-5=-2\)

Answer:

Point in original figure: \((-5,3)\)
Point in final figure: \((3,-2)\)