Question

graph the image of rectangle abcd after a translation 7 units down.

Explanation:

Step1: Find coordinates of original points

Point \(A(-3,3)\), \(B(6,3)\), \(C(6,6)\), \(D(-3,6)\)

Step2: Apply translation rule

Translation \(7\) units down: \((x,y)\to(x,y - 7)\)
For \(A(-3,3)\): \(y=3-7=-4\), new point \(A'(-3,-4)\)
For \(B(6,3)\): \(y = 3-7=-4\), new point \(B'(6,-4)\)
For \(C(6,6)\): \(y=6 - 7=-1\), new point \(C'(6,-1)\)
For \(D(-3,6)\): \(y=6-7=-1\), new point \(D'(-3,-1)\)

Step3: Plot new points and connect

Plot \(A'(-3,-4)\), \(B'(6,-4)\), \(C'(6,-1)\), \(D'(-3,-1)\) and connect them to form the translated rectangle.

Answer:

The new rectangle has vertices \(A'(-3,-4)\), \(B'(6,-4)\), \(C'(6,-1)\), \(D'(-3,-1)\)