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16 September, 22:45

A triangle is drawn on the coordinate plane. It is translated 4 units right and 3 units down. Which rule describes the translation

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  1. 16 September, 22:53
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    Answer: (x, y) → (x + 4, y - 3)

    A translation is a geometric transformation which follows specific rules.

    A horizontal translation of a units transforms the coordinates (x, y) into:

    x' = x + a

    y' = y

    where, if a > 0 the translation is towards the right and if a < 0 the translation is towards the left.

    In our case a = + 4

    A vertical translation of b units transforms the coordinates (x, y) into:

    x' = x

    y' = y + b

    where, if b > 0 the translation is upward and if b < 0 the translation is downward.

    In our case: b = - 3

    Combining the two transformations:

    x' = x + 4

    y' = y - 3

    Hence, the correct answer is (x, y) → (x + 4, y - 3)
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