Question

Which answer correctly describes the transformation from the preimage to the

Answer 1

Answer: Choice A

Translation of 10 units left and 8 units down

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Explanation:

Always start with the preimage. Let's say we focus on point A located at (3,6). Its corresponding point is A' located at (-7,-2). To go from (3,6) to (-7,-2), we move 10 units to the left and 8 units down.

The motion "10 units to the left" means we subtract 10 from the x coordinate. The "8 units down" part means we subtract 8 from the y coordinate.

Overall, the translation rule is $(x,y) \to (x-10,y-8)$

If we applied that rule to A(3,6), then...

$(x,y) \to (x-10,y-8)\\\\(3,6) \to (3-10,6-8)\\\\(3,6) \to (-7,-2)$

which is what the diagram shows going from A to A'

Let's do the same for point B(3,1)

$(x,y) \to (x-10,y-8)\\\\(3,1) \to (3-10,1-8)\\\\(3,1) \to (-7,-7)$

This indicates B(3,1) moves to B ' (-7,-7) which is what the diagram shows. I'll let you confirm that C(6,6) moves to C ' (-4,-2) using that translation rule.