Question

write the coordinates of the vertices after a translation 8 units left and 5 units down.
p((box, box))
q((box, box))
r((box, box))

Explanation:

Step1: Find original coordinates

From the graph:

• \( P(2, -6) \)
• \( Q(6, -6) \)
• \( R(-2, 1) \)

Step2: Apply translation (8 left: \( x - 8 \); 5 down: \( y - 5 \))

For \( P \):
\( x' = 2 - 8 = -6 \)
\( y' = -6 - 5 = -11 \)
So \( P'(-6, -11) \)

For \( Q \):
\( x' = 6 - 8 = -2 \)
\( y' = -6 - 5 = -11 \)
So \( Q'(-2, -11) \)

For \( R \):
\( x' = -2 - 8 = -10 \)
\( y' = 1 - 5 = -4 \)
So \( R'(-10, -4) \)

Answer:

\( P'(-6, -11) \)
\( Q'(-2, -11) \)
\( R'(-10, -4) \)