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On a coordinate plane, triangle A B C is shifted 4 units up and 3 units to the left to form triangle A prime B prime C prime.
Use the figure to identify the correct rule for the translation.
(x, y) Right-arrow (x – 3, y + 4)
(x, y) Right-arrow (x + 3, y – 4)
(x, y) Right-arrow (x – 4, y + 3)
(x, y) Right-arrow (x + 4, y – 3)

Respuesta :

xero099

In accordance with the definitions of rigid transformation and translation, the correct rule for the translation is defined by (x, y) → (x - 3, y + 4). (Right choice: A)

How to derive the mathematic expression behind a transformation rule

Mathematically speaking, transformations are rigid transformations that are modelled according to the following formula:

P'(x, y) = P(x, y) + (h, k)     (1)

Where:

  • P(x, y) - Original point
  • P'(x, y) - Resulting point
  • h - Horizontal rightward translation
  • k - Vertical upward translation

Hence, a leftward translation indicates that h < 0. The correct rule for the translation is defined by (x, y) → (x - 3, y + 4).

To learn more on translations: https://brainly.com/question/17152175

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