Question

The image of the point (1, 9) under a translation is (4, 10) . Find the coordinates of the image of the point (- 9, - 2) under the same translation .

Answer 1

( - 6 , - 1 )

Explanation:

Let's find the rule of that transformation:

1 +
`k_(x)` = 4 ⇒
`k_(x)` = 3

9 +
`k_(y)` = 10 ⇒
`k_(y)` = 1

Thus, the rule of given transformation is ( x + 3 , y + 1 )

So, the image of the point ( - 9 , - 2 ) is

( - 9 + 3 , - 2 + 1 ) = ( - 6 , - 1 )