ANSWER and EXPLANATION
We have the figure given. We want to translate the figure with <3, -2>
To do this, we will need to add 3 to each x cordinate and subtract 2 from each y cordinate of the figure.
Let us get the cordinates of the vertices of the figure:
=> (-1, 1)
=> (1, 1)
=> (1, -3)
=> (-3, -2)
Now, let us make the translation:
* (-1, 1) => (-1 + 3, 1 - 2) = (2, -1)
* (1, 1) => (1 + 3, 1 - 2) = (4, -1)
* (1, -3) => (1 + 3, -3 -2) = (4, -5)
* (-3, -2) => (-3 + 3, -2 - 2) = (0, -4)
Now let us plot these four vertices:
The figure in red is the translated figure.