Question

the figure below has a point marked with a large dot.
first, translate the figure 8 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: Identify original coordinates

Looking at the graph, the marked point in the original figure has an x - coordinate of 3 and a y - coordinate of - 2. So the original coordinates are \((3, - 2)\).

Step2: Apply translation (8 units up)

When translating a point \((x,y)\) \(k\) units up, the new coordinates are \((x,y + k)\). Here, \(x = 3\), \(y=-2\) and \(k = 8\). So the new y - coordinate is \(-2+8 = 6\). The x - coordinate remains 3. So the final coordinates are \((3,6)\).

Answer:

Point in original figure: \((3, - 2)\)
Point in final figure: \((3,6)\)