The true statements about the translation are:
The transformation rule is (x, y) right-arrow (x + 0, y + 4) ⇒ 2nd
The transformation is a vertical translation ⇒ 3rd
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)
- If the point (x , y) translated horizontally to the left by h units then its image is (x - h , y)
- If the point (x , y) translated vertically up by k units then its image is (x , y + k)
- If the point (x , y) translated vertically down by k units then its image is (x , y - k)
∵ The coordinates of point V are (-2 , 3)
∵ The coordinates of point V' are (-2 , 7)
- The x-coordinate does not change but the y coordinate
changes, that means the translation is vertically only
∴ The translation is vertically
∵ The rule of the vertical transformation of point (x , y) is:
(x , y) → (x + 0 , y + k)
∵ The y-coordinate in V = 3
∵ The y-coordinate in V' = 7
∴ 3 + k = 7
- Subtract 3 from both sides
∴ k = 4
- That means point V is translated 4 units up
∴ The transformation rule is (x , y) → (x + 0 , y + 4)
The true statements about the translation are:
The transformation rule is (x, y) right-arrow (x + 0, y + 4)
The transformation is a vertical translation
Learn more:
You can learn more about transformations in brainly.com/question/9381523
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