Question

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

Explanation:

Step1: Find the original coordinates of point T

From the graph, the original coordinates of point T are \((-5,3)\).

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 \(k = 4\), so for point \(T(-5,3)\), the \(x\) - coordinate remains \(-5\) and the \(y\) - coordinate becomes \(3-4=-1\).

Answer:

The coordinates of the image of point T after the translation are \((-5,-1)\)