Question

write the coordinates of the vertices after a translation 4 units right and 1 unit up.

Explanation:

Step1: Find original coordinates

From the graph, \(S(-9,-9)\), \(T(-9,-7)\), \(U(-6,-7)\), \(V(-6,-9)\)

Step2: Apply translation rule

The translation rule for 4 units right (\(x + 4\)) and 1 unit up (\(y+1\))
For \(S(-9,-9)\): \(x=-9 + 4=-5\), \(y=-9 + 1=-8\), new coordinate \(S'(-5,-8)\)
For \(T(-9,-7)\): \(x=-9 + 4=-5\), \(y=-7 + 1=-6\), new coordinate \(T'(-5,-6)\)
For \(U(-6,-7)\): \(x=-6 + 4=-2\), \(y=-7 + 1=-6\), new coordinate \(U'(-2,-6)\)
For \(V(-6,-9)\): \(x=-6 + 4=-2\), \(y=-9 + 1=-8\), new coordinate \(V'(-2,-8)\)

Answer:

\(S'(-5,-8)\), \(T'(-5,-6)\), \(U'(-2,-6)\), \(V'(-2,-8)\)