Δdog has coordinates d (3, 2), o (2, −4) and g (−1, −1). a translation maps point d to d' (2, 4). find the coordinates of o' and g' under this translation.
o' (−1, 1); g' (1, −2)
o' (3, 0); g' (−1, −1)
o' (0, −3); g' (−3, 0)
o' (1, −2); g' (−2, 1)

see explanation

Step-by-step explanation:

Given D(3, 2 ) → D'(2, 4 )

The x- coordinate of D' is 1 less than D and the y- coordinate of D' is 2 more than D, thus the translation rule is

(x, y ) → (x - 1, y + 2 )

Apply this rule to points O and G

O( 2, - 4 ) → O'(2 - 1, - 4 + 2 ) → O'(1, - 2 )

G(- 1, - 1 ) → G'(- 1 - 1, - 1 + 2 ) → G'(- 2, 1 )