Question

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 coordinates of point T are \((-6,4)\).

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 \(k = 4\), \(x=-6\) and \(y = 4\).
So the new \(y\)-coordinate is \(y-4=4 - 4=0\), and the \(x\)-coordinate remains \(x=-6\).

Answer:

The coordinates of the image of point T are \((-6,0)\)