Question

write the coordinates of the vertices after a translation 8 units left and 10 units down.

Explanation:

Step1: Find original coordinates

From the graph, original coordinates: \( P(-1, 6) \), \( Q(7, 6) \), \( R(1, 3) \)

Step2: Apply translation (left 8: \( x - 8 \); down 10: \( y - 10 \))

For \( P \): \( x = -1 - 8 = -9 \), \( y = 6 - 10 = -4 \) → \( P'(-9, -4) \)
For \( Q \): \( x = 7 - 8 = -1 \), \( y = 6 - 10 = -4 \) → \( Q'(-1, -4) \)
For \( R \): \( x = 1 - 8 = -7 \), \( y = 3 - 10 = -7 \) → \( R'(-7, -7) \)

Answer:

\( P'(-9, -4) \), \( Q'(-1, -4) \), \( R'(-7, -7) \)