What are the new coordinates of l if parallelogram lmno is translated down 20 units?

The answer is

Step-by-step explanation:

Firstly, we have to determine the coordinates of L before the translation.

If we see the graph, we can see that the coordinate "x" is -4 and the coordinate "y" is 1. So, the original coordinates of L are

Then, we have to determine the vector of translation. We know that the parallelogram LMNO is translated down 20 units, so it means that it moved only in the negative vertical direction. Then the coordinate of the vector is

Finally, in order to determine the new coordinates of L, we have to add the original coordinates of L with the coordinates of the vector of translation, that is:

So, the new coordinates of L is

2x^2+5x+17

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