Question

graph the image of parallelogram stuv after a translation 4 units down.

Explanation:

Step1: Identify the coordinates of the vertices

Assume $S(-1,1)$, $T(1,1)$, $U(1,9)$, $V(-1,9)$.

Step2: Apply the translation rule

For a translation 4 units down, subtract 4 from the y - coordinates of each vertex.
New coordinates: $S'(-1,1 - 4)=(-1,-3)$, $T'(1,1 - 4)=(1,-3)$, $U'(1,9 - 4)=(1,5)$, $V'(-1,9 - 4)=(-1,5)$.

Step3: Plot the new vertices

Plot $S'(-1,-3)$, $T'(1,-3)$, $U'(1,5)$, $V'(-1,5)$ on the coordinate - plane and connect them to form the new parallelogram.

Answer:

Plot the points $S'(-1,-3)$, $T'(1,-3)$, $U'(1,5)$, $V'(-1,5)$ and connect them to get the translated parallelogram.