Question

write the coordinates of the vertices after a translation 1 unit right and 1 unit down.

Explanation:

Step1: Find original coordinates

From the graph, \(D(2,-9)\), \(E(8,-9)\), \(F(8,-3)\), \(G(2,-3)\)

Step2: Apply translation rule

Translation 1 unit right (\(x + 1\)) and 1 unit down (\(y-1\))
For \(D\): \(x = 2+1=3\), \(y=-9 - 1=-10\), so \(D'(3,-10)\)
For \(E\): \(x = 8+1=9\), \(y=-9 - 1=-10\), so \(E'(9,-10)\)
For \(F\): \(x = 8+1=9\), \(y=-3 - 1=-4\), so \(F'(9,-4)\)
For \(G\): \(x = 2+1=3\), \(y=-3 - 1=-4\), so \(G'(3,-4)\)

Answer:

\(D'(3,-10)\), \(E'(9,-10)\), \(F'(9,-4)\), \(G'(3,-4)\)