Question

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

Explanation:

Step1: Recall translation rule

For a translation 7 units down, subtract 7 from the y - coordinate of each point.

Step2: Identify original points

The original points of square \(ABCD\) are \(A(-4,-2)\), \(B(-2,-2)\), \(C(-2,2)\), \(D(-4,2)\).

Step3: Calculate new points

For point \(A\): New \(y=-2 - 7=-9\), new point \(A'(-4,-9)\).
For point \(B\): New \(y=-2 - 7=-9\), new point \(B'(-2,-9)\).
For point \(C\): New \(y=2 - 7=-5\), new point \(C'(-2,-5)\).
For point \(D\): New \(y=2 - 7=-5\), new point \(D'(-4,-5)\).

Step4: Graph new square

Plot points \(A'(-4,-9)\), \(B'(-2,-9)\), \(C'(-2,-5)\), \(D'(-4,-5)\) and connect them to form the new square.

Answer:

Graph the square with vertices \(A'(-4,-9)\), \(B'(-2,-9)\), \(C'(-2,-5)\), \(D'(-4,-5)\) on the given coordinate - plane.