Question

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

Explanation:

1. First, identify the original coordinates of point T:

• Assume from the graph (since no specific coordinates are given in text but we can visually estimate), if the original coordinates of point T are \((x,y)\). Looking at the grid - like graph, assume the original coordinates of point T are \((- 5,4)\).

1. Apply the translation rule:

• A translation down 4 units means subtracting 4 from the y - coordinate of the point while the x - coordinate remains the same.
• The translation rule for a point \((x,y)\) translated down \(k\) units is \((x,y - k)\). Here \(k = 4\).
• For point T with original coordinates \((-5,4)\), the new y - coordinate is \(y-4=4 - 4=0\), and the x - coordinate remains \(x=-5\).

1. Determine the new coordinates:

• The coordinates of the image of point T after the translation are \((-5,0)\).

Step1: Identify original coordinates

Assume \(T(-5,4)\)

Step2: Apply translation rule

New \(y=4 - 4\)

Step3: Get new coordinates

\((-5,0)\)

Answer:

\((-5,0)\)