Question

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

Answer 1

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

Step-by-step 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)