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

What are the new vertices of the triangle under the translation x y x 1 y 3 class=

Respuesta :

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

[tex](x, y) \to (x - 1,y - 3)[/tex]

The new vertices of the triangle will be;

[tex](0, 2) \to (0 - 1,2- 3) = ( - 1, - 1)[/tex]

[tex]( - 3, - 2) \to (- 3-1, - 2- 3) = ( -4, - 5)[/tex]

[tex]( - 7, 3) \to ( - 7 - 1,3- 3) = ( - 8, 0)[/tex]

The new vertices are:

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