Question

write the coordinates of the vertices after a translation 1 unit left and 5 units down. d ( , ) e ( , ) f ( , ) g ( , )

Explanation:

Step1: Find original coordinates

From the graph, \(D(0, - 2)\), \(E(8, - 2)\), \(F(10,4)\), \(G(2,4)\).

Step2: Apply translation rule

The translation rule for 1 unit left (\(x=x - 1\)) and 5 units down (\(y=y - 5\)).
For \(D\): \(x = 0-1=-1\), \(y=-2 - 5=-7\), so \(D'(-1,-7)\).
For \(E\): \(x = 8-1 = 7\), \(y=-2 - 5=-7\), so \(E'(7,-7)\).
For \(F\): \(x = 10-1=9\), \(y = 4-5=-1\), so \(F'(9,-1)\).
For \(G\): \(x = 2-1 = 1\), \(y=4 - 5=-1\), so \(G'(1,-1)\).

Answer:

\(D'(-1,-7)\), \(E'(7,-7)\), \(F'(9,-1)\), \(G'(1,-1)\)