Question

write the coordinates of the vertices after a translation 6 units right and 15 units down.

Explanation:

Step1: Find the original coordinates

From the graph, the original coordinates are \(J(-7,4)\), \(K(0,5)\), \(L(0,10)\), \(N(-7,9)\)

Step2: Apply the translation rule

The translation rule for 6 units right (\(x + 6\)) and 15 units down (\(y-15\))
For point \(J\):
\(x=-7 + 6=-1\), \(y = 4-15=-11\), new coordinate \(J'(-1,-11)\)
For point \(K\):
\(x=0 + 6=6\), \(y=5 - 15=-10\), new coordinate \(K'(6,-10)\)
For point \(L\):
\(x=0+6 = 6\), \(y=10-15=-5\), new coordinate \(L'(6,-5)\)
For point \(N\):
\(x=-7 + 6=-1\), \(y=9-15=-6\), new coordinate \(N'(-1,-6)\)

Answer:

The coordinates of the vertices after translation are \(J'(-1,-11)\), \(K'(6,-10)\), \(L'(6,-5)\), \(N'(-1,-6)\)