Question

graph the image of trapezoid tuvw after a translation 4 units right and 3 units down.

Explanation:

Step1: Recall translation rule

For a point $(x,y)$ translated 4 units right and 3 units down, the new - point is $(x + 4,y-3)$.

Step2: Identify original coordinates

Assume $T(-4,-6)$, $U(-4,-2)$, $V(4,4)$, $W(4,3)$.

Step3: Calculate new coordinates

For point $T$: $x=-4,y = - 6$, new coordinates are $(-4 + 4,-6-3)=(0,-9)$.
For point $U$: $x=-4,y=-2$, new coordinates are $(-4 + 4,-2-3)=(0,-5)$.
For point $V$: $x = 4,y = 4$, new coordinates are $(4 + 4,4-3)=(8,1)$.
For point $W$: $x = 4,y = 3$, new coordinates are $(4 + 4,3-3)=(8,0)$.

Step4: Graph new trapezoid

Plot the points $(0,-9)$, $(0,-5)$, $(8,1)$, $(8,0)$ and connect them to form the new trapezoid.

Answer:

Graph the trapezoid with vertices $(0,-9)$, $(0,-5)$, $(8,1)$, $(8,0)$.