Question

the figure below is translated down 3 units. what are the coordinates of the image of point r after this transformation?

Explanation:

Step1: Determine the original coordinates of point R

From the graph, the coordinates of point R are \((-2,-4)\).

Step2: Apply the translation rule for vertical translation

When a point \((x,y)\) is translated down \(k\) units, the new coordinates are \((x,y - k)\). Here \(k = 3\), so for point \(R(-2,-4)\), the \(y\) - coordinate changes. The new \(y\) - coordinate is \(y=-4-3=-7\), and the \(x\) - coordinate remains \(x = - 2\).

Answer:

The coordinates of the image of point R are \((-2,-7)\)