Question

graph the image of \\( \triangle stu \\) after a translation 9 units right.

Explanation:

Step1: Find the coordinates of original points

Assume \(S(-9,-6)\), \(U(-9,-5)\), \(T(-3,-6)\)

Step2: Apply the translation rule

The translation rule for moving \(9\) units right is \((x,y)\to(x + 9,y)\)
For \(S(-9,-6)\): \((-9+9,-6)=(0,-6)\)
For \(U(-9,-5)\): \((-9 + 9,-5)=(0,-5)\)
For \(T(-3,-6)\): \((-3+9,-6)=(6,-6)\)

Step3: Plot the new points

Plot the points \((0,-6)\), \((0,-5)\) and \((6,-6)\) and connect them to form the image of \(\triangle STU\) after translation.

Answer:

Plot the points \((0,-6)\), \((0,-5)\) and \((6,-6)\) and connect them.