For the Transformation T write the T-1 T: (x, y) = (x + 4, y + 3) Т-1 (x, y) – (x+3, y + 2) (x-4, y-3) (x+, y

Question

For the Transformation T write the T-1
T: (x, y) = (x + 4, y + 3)
Т-1 (x, y) –
(x+3, y + 2)
(x-4, y-3)
(x+, y + 3)

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Thu Giang 4 years 2021-08-18T22:17:13+00:00 1 Answers 10 views 0

Answers ( )

  1. thongdat2
    0
    2021-08-18T22:18:37+00:00
    Reply

    Answer:

    (T – 1)(x, y) = (x – 4, y – 3)

    Step-by-step explanation:

    For a given transformation:

    T(x, y) = (x’, y’)

    the inverse transformation is defined by:

    (T – 1)(x’, y’) = (x, y)

    So, if our transformation is:

    T(x, y) = (x + 4, y + 3)

    Then for the inverse transformation, we should have:

    (T – 1)(x + 4, y + 3) = (x, y)

    So the inverse transformation reduces the x-value by 4, and reduces the y-value by 3.

    Writing the inverse transformation for a generic (x, y) point, we get:

    (T – 1)(x, y) = (x – 4, y – 3)

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