Question

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

Explanation:

Step1: Identify original coordinates

The coordinates of point $P$ are $(0,6)$, of point $Q$ are $(7,6)$ and of point $R$ are $(1,3)$.

Step2: Apply left - translation rule

For a translation 8 units left, subtract 8 from the $x$-coordinate of each point.
For $P(0,6)$: $0 - 8=-8$; for $Q(7,6)$: $7 - 8=-1$; for $R(1,3)$: $1 - 8=-7$.

Step3: Apply down - translation rule

For a translation 10 units down, subtract 10 from the $y$-coordinate of each point.
For $P$: $6-10 = - 4$; for $Q$: $6 - 10=-4$; for $R$: $3-10=-7$.

Answer:

The new coordinates are $P'(-8,-4)$, $Q'(-1,-4)$, $R'(-7,-7)$