Question

write the coordinates of the vertices after a translation 1 unit left and 1 unit up.
q(
r(
s(
)

Explanation:

Step1: Find original coordinates

From the graph, the original coordinates are \( Q(1,-8) \), \( R(8,-8) \), \( S(2,-10) \).

Step2: Apply translation rule

The translation rule is \( (x,y)\to(x - 1,y + 1) \).
For \( Q(1,-8) \):
\( x=1,y=-8 \)
\( x'=1-1 = 0 \), \( y'=-8 + 1=-7 \)
For \( R(8,-8) \):
\( x=8,y=-8 \)
\( x'=8-1 = 7 \), \( y'=-8 + 1=-7 \)
For \( S(2,-10) \):
\( x=2,y=-10 \)
\( x'=2-1 = 1 \), \( y'=-10 + 1=-9 \)

Answer:

\( Q'(0,-7) \), \( R'(7,-7) \), \( S'(1,-9) \)