Question

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

Explanation:

Step1: Recall translation rule

For a translation 6 units right, we add 6 to the x - coordinate of each point.

Step2: Identify original points

Let's assume \(T(- 2,3)\), \(U(0,3)\), \(V(0,7)\), \(W(-2,7)\).

Step3: Calculate new points

For point \(T\): New \(x=-2 + 6=4\), \(y = 3\), so new \(T(4,3)\).
For point \(U\): New \(x=0 + 6=6\), \(y = 3\), so new \(U(6,3)\).
For point \(V\): New \(x=0 + 6=6\), \(y = 7\), so new \(V(6,7)\).
For point \(W\): New \(x=-2+6 = 4\), \(y = 7\), so new \(W(4,7)\).

Step4: Graph new rectangle

Plot the points \(T(4,3)\), \(U(6,3)\), \(V(6,7)\), \(W(4,7)\) and connect them to form the new rectangle.

Answer:

Graph the rectangle with vertices \(T(4,3)\), \(U(6,3)\), \(V(6,7)\), \(W(4,7)\) on the coordinate - plane.