Question

write the coordinates of the vertices after a translation 1 unit up.

Explanation:

Step1: Find the original coordinates

From the graph, the original coordinates are \( T(0, - 4)\), \(R(1, - 7)\), \(S(2, - 7)\)

Step2: Apply the translation rule

The translation rule for moving 1 unit up is \((x,y)\to(x,y + 1)\)
For point \(T\): \(x = 0,y=-4\), after translation \(y=-4 + 1=-3\), so \(T'(0,-3)\)
For point \(R\): \(x = 1,y=-7\), after translation \(y=-7 + 1=-6\), so \(R'(1,-6)\)
For point \(S\): \(x = 2,y=-7\), after translation \(y=-7 + 1=-6\), so \(S'(2,-6)\)

Answer:

\(T'(0,-3)\), \(R'(1,-6)\), \(S'(2,-6)\)