Mathematics: What are the new vertices of the triangle under the translation (x, y) (x − 1, y − 3)?

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What are the new vertices of the triangle under

emilypzamora11

17.01.2022

ANSWER

(-1,-1), (-4,-5), (-8,0)

EXPLANATION

We have a triangle with vertices:

(0,2), (-3,-2) and (-7,3).

The rule for the translation is

$(x, y) \to (x - 1,y - 3)$

The new vertices of the triangle will be;

$(0, 2) \to (0 - 1,2- 3) = ( - 1, - 1)$

$( - 3, - 2) \to (- 3-1, - 2- 3) = ( -4, - 5)$

$( - 7, 3) \to ( - 7 - 1,3- 3) = ( - 8, 0)$

The new vertices are:

(-1,-1), (-4,-5), (-8,0)

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