Question

graph the image of rectangle tuvw after a translation 6 units right.

Explanation:

Step1: Find the coordinates of original points

The coordinates of \(T(-1,3)\), \(U(1,3)\), \(V(1,7)\), \(W(-1,7)\)

Step2: Apply the translation rule

For a translation \(6\) units right, the rule is \((x,y)\to(x + 6,y)\)

• For point \(T(-1,3)\): \((-1+6,3)=(5,3)\)
• For point \(U(1,3)\): \((1 + 6,3)=(7,3)\)
• For point \(V(1,7)\): \((1+6,7)=(7,7)\)
• For point \(W(-1,7)\): \((-1 + 6,7)=(5,7)\)

Step3: Plot the new points

Plot the points \((5,3)\), \((7,3)\), \((7,7)\), \((5,7)\) and connect them to form the translated rectangle.

Answer:

Plot the points \((5,3)\), \((7,3)\), \((7,7)\), \((5,7)\) and connect them.