Question

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

Answer 1

Answer:  (-5, -8)

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Explanation:

We get this point by doing two things.

• Subtract 2 from the x coordinate, due to the x-2
• Subtract 7 from the y coordinate, because of the y-7

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

$(x,y) \to (x-2, y-7)\\\\(-3,-1) \to (-3-2, -1-7)\\\\(-3,-1) \to (-5, -8)$