Find the coordinates of the image of Z(−3,−1) after the translation (x, y)→(x−2,y−7).

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Explanation:

We get this point by doing two things.

If we started with x = -3, then x-2 = -3-2 = -5. Also, if we had y = -1 then y-7 = -1-7 = -8

So that's how we end up with Z(-3,-1) moving to Z ' (-5, -8)

You could also show your work like this

yes because there is exactly one y value for every x value

for function there can't be more than one value for every x value

stops on an even number.