Question

the figure below is translated down 4 units. what are the coordinates of the image of point b after this transformation?

Explanation:

Step1: Determine the original coordinates of point B

From the graph, the coordinates of point B are \((-1,2)\).

Step2: Apply the translation rule for moving down

When a point \((x,y)\) is translated down \(k\) units, the new coordinates are \((x,y - k)\). Here \(k = 4\), so for point \(B(-1,2)\), the new \(y\)-coordinate is \(2-4=-2\) and the \(x\)-coordinate remains \(-1\).

Answer:

The coordinates of the image of point B are \((-1,-2)\)