An object is translated from A (-6, -4) to A' (-18, -8). What is the translation rule?

The translation rule is (x , y) → (x - 12 , y - 4)

Step-by-step explanation:

Let us revise the translation of a point

An object is translated from A (-6, -4) to A' (-18, -8)

∵ A is (-6 , -4)

∵ A' is (-18 , -8)

∴ x-coordinate = -6

∴ x'-coordinate = -18

- By using the translation rule above

∵ x' = x + h

∴ -18 = -6 + h

- Add 6 to both sides

∴ -12 = h

∴ h = -12

∵ h is a negative value

- That means A translated to the left 12 units

∴ The rule is (x , y) → (x - 12 , y)

∵ y-coordinate = -4

∴ y'-coordinate = -8

∵ y' = y + k

∴ -8 = -4 + k

- Add 4 to both sides

∴ -4 = k

∴ k = -4

∵ k is a negative value

- That means A down 4 units

∴ The rule is (x , y) → (x , y - 4)

The translation rule is (x , y) → (x - 12 , y - 4)

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