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

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)