Question

write the coordinates of the vertices after a translation 9 units up.

Explanation:

Step1: Find original coordinates

From the graph, \(T(-5,-9)\), \(U(-5,0)\), \(V(5,0)\), \(W(5,-9)\)

Step2: Apply translation rule

The translation rule for moving \(9\) units up is \((x,y)\to(x,y + 9)\)
For \(T(-5,-9)\): \(y=-9+9 = 0\), so \(T'(-5,0)\)
For \(U(-5,0)\): \(y=0 + 9=9\), so \(U'(-5,9)\)
For \(V(5,0)\): \(y=0+9 = 9\), so \(V'(5,9)\)
For \(W(5,-9)\): \(y=-9 + 9=0\), so \(W'(5,0)\)

Answer:

\(T'(-5,0)\), \(U'(-5,9)\), \(V'(5,9)\), \(W'(5,0)\)