Question

write the coordinates of the vertices after a translation 6 units right and 1 unit up.
q(
,
)
r(
,
)
s(
,
)

Explanation:

Step1: Find original coordinates

From the graph, \(Q(-7,-7)\), \(R(2,-7)\), \(S(-5,-3)\)

Step2: Apply translation rule

The translation rule for 6 units right (add 6 to \(x\) - coordinate) and 1 unit up (add 1 to \(y\) - coordinate) is \((x,y)\to(x + 6,y+1)\)
For \(Q(-7,-7)\):
\(x=-7+6=-1\), \(y=-7 + 1=-6\)
For \(R(2,-7)\):
\(x=2+6=8\), \(y=-7 + 1=-6\)
For \(S(-5,-3)\):
\(x=-5+6 = 1\), \(y=-3+1=-2\)

Answer:

\(Q'(-1,-6)\), \(R'(8,-6)\), \(S'(1,-2)\)