Question

What are the coordinates of the vertices of the triangle under the translation

(x, y) (x + 1,y − 4)?



(0, −3), (0, 0), (3, −3)



(−3, 0), (0, 0), (−3, −3)



(−3, 0), (3, −3), (0, −3)



(0, −3), (−3, −3), (−3, 0)

Answer 1

a)
`(1, -7), (1, - 4), (4, -7)`, b)
`(-2, -4), (1,-4),(-2,-7)`, c)
`(-2,-4), (4,-7), (1,-7)`, d)
`(1, -7), (-2, - 7), (-2, - 4)`

Explanation:

The translated coordinates are calculated and described below:

a)
`(0,-3), (0,0), (3,-3)`

`(1, -7), (1, - 4), (4, -7)`

b)
`(-3,0),(0,0), (-3,-3)`

`(-2, -4), (1,-4),(-2,-7)`

c)
`(-3,0), (3,-3), (0,-3)`

`(-2,-4), (4,-7), (1,-7)`

d)
`(0, -3), (-3,-3), (-3, 0)`

`(1, -7), (-2, - 7), (-2, - 4)`