Question

write the coordinates of the vertices after a translation 3 units left and 5 units down.

Explanation:

Step1: Find original coordinates of D

From the graph, point D has coordinates \((1, -3)\).

Step2: Apply translation rules

Translation 3 units left: subtract 3 from the x - coordinate. Translation 5 units down: subtract 5 from the y - coordinate.
For the x - coordinate of \(D'\): \(1-3=-2\)
For the y - coordinate of \(D'\): \(-3 - 5=-8\)

Answer:

\(D'(-2, -8)\)