Question

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

Explanation:

Step1: Find the original coordinates

From the graph, the coordinates are \(P(-2,8)\), \(Q(6,8)\), \(R(0,4)\).

Step2: Apply the translation rule

The translation rule for 8 units left (subtract 8 from \(x\) - coordinate) and 8 units down (subtract 8 from \(y\) - coordinate) is \((x,y)\to(x - 8,y - 8)\).
For point \(P\):
\(x=-2-8=-10\), \(y = 8-8=0\), so \(P'(-10,0)\)
For point \(Q\):
\(x=6 - 8=-2\), \(y=8 - 8=0\), so \(Q'(-2,0)\)
For point \(R\):
\(x=0-8=-8\), \(y=4 - 8=-4\), so \(R'(-8,-4)\)

Answer:

\(P'(-10,0)\), \(Q'(-2,0)\), \(R'(-8,-4)\)