Question

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

Explanation:

Step1: Find original coordinates

The original coordinates are \(S(-7,-9)\), \(T(-7,-8)\), \(U(-5,-8)\), \(V(-5,-9)\)

Step2: Apply translation rule

The translation rule for 4 units right (add 4 to \(x\) - coordinate) and 1 unit up (add 1 to \(y\) - coordinate)
For \(S(-7,-9)\):
\(x=-7 + 4=-3\), \(y=-9 + 1=-8\), so \(S'(-3,-8)\)
For \(T(-7,-8)\):
\(x=-7+4 = -3\), \(y=-8 + 1=-7\), so \(T'(-3,-7)\)
For \(U(-5,-8)\):
\(x=-5 + 4=-1\), \(y=-8+1=-7\), so \(U'(-1,-7)\)
For \(V(-5,-9)\):
\(x=-5 + 4=-1\), \(y=-9 + 1=-8\), so \(V'(-1,-8)\)

Answer:

\(S'(-3,-8)\), \(T'(-3,-7)\), \(U'(-1,-7)\), \(V'(-1,-8)\)