Question

write the coordinates of the vertices after a translation 5 units down.
a(
,
)
b(
,
)
c(
,
)
d(
,
)

Explanation:

Step1: Find original coordinates

From the graph, \(A(-1,-4)\), \(B(0,-4)\), \(C(0,7)\), \(D(-1,7)\).

Step2: Apply translation rule

Translation 5 units down: \((x,y)\to(x,y - 5)\).
For \(A(-1,-4)\): \(A'(-1,-4-5)=(-1,-9)\)
For \(B(0,-4)\): \(B'(0,-4 - 5)=(0,-9)\)
For \(C(0,7)\): \(C'(0,7-5)=(0,2)\)
For \(D(-1,7)\): \(D'(-1,7 - 5)=(-1,2)\)

Answer:

\(A'(-1,-9)\), \(B'(0,-9)\), \(C'(0,2)\), \(D'(-1,2)\)