Question

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

Explanation:

Step1: Find the coordinates of original points

Assume the coordinates of \(R(5,5)\), \(S(7,5)\), \(T(7,7)\), \(U(5,7)\) (based on the graph).

Step2: Apply the translation rule

The translation rule for moving 7 units down is \((x,y)\to(x,y - 7)\).
For \(R(5,5)\): \(R'(5,5 - 7)=(5,- 2)\)
For \(S(7,5)\): \(S'(7,5 - 7)=(7,-2)\)
For \(T(7,7)\): \(T'(7,7 - 7)=(7,0)\)
For \(U(5,7)\): \(U'(5,7 - 7)=(5,0)\)

Step3: Plot the new points

Plot \(R'(5,-2)\), \(S'(7,-2)\), \(T'(7,0)\), \(U'(5,0)\) on the coordinate - plane and connect them to form the translated square.

Answer:

Plot the points \((5,-2)\), \((7,-2)\), \((7,0)\), \((5,0)\) and connect them.