Question

graph the image of rectangle qrst after a translation 7 units right.

Explanation:

Step1: Recall translation rule

For a translation 7 units right, we add 7 to the x - coordinates of each point.

Step2: Identify original points

Let \(Q(-8,-1)\), \(R(2,-1)\), \(S(2,2)\), \(T(-8,2)\)

Step3: Calculate new points

For point \(Q\): New \(x=-8 + 7=-1\), \(y=-1\), so \(Q'(-1,-1)\)
For point \(R\): New \(x=2 + 7 = 9\), \(y=-1\), so \(R'(9,-1)\)
For point \(S\): New \(x=2+7 = 9\), \(y = 2\), so \(S'(9,2)\)
For point \(T\): New \(x=-8 + 7=-1\), \(y = 2\), so \(T'(-1,2)\)

Step4: Graph new rectangle

Plot points \(Q'(-1,-1)\), \(R'(9,-1)\), \(S'(9,2)\), \(T'(-1,2)\) and connect them to form the new rectangle.

Answer:

Graph the rectangle with vertices \(Q'(-1,-1)\), \(R'(9,-1)\), \(S'(9,2)\), \(T'(-1,2)\)