Answer:
The translation rule is (x , y) → (x - 12 , y - 4)
Step-by-step explanation:
Let us revise the translation of a point
- If the point (x , y) translated horizontally to the right by h units then its image is (x + h , y) ⇒ T (x , y) → (x + h , y)
- If the point (x , y) translated horizontally to the left by h units then its image is (x - h , y) ⇒ T (x , y) → (x - h , y)
- If the point (x , y) translated vertically up by k units then its image is (x , y + k)→ (x + h , y) ⇒ T (x , y) → (x , y + k)
- If the point (x , y) translated vertically down by k units then its image is (x , y - k) ⇒ T (x , y) → (x , y - k)
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)
