Question

Hexagon DEFGHI is translated 8 units down and 3 units to the right. If the coordinates of the pre-image of point F are

(–9, 2), what are the coordinates of F'?

(–17, 5)
(–6, –6)
(–17, –1)
(–12, –6)

Answer 1

(- 6, - 6)

Explanation:

A translation of 8 units down, means subtracting 8 from the y- coordinate and a translation of 3 units to the right means adding 3 to the x- coordinate.

The translation rule is

(x, y) → (x + 3, y - 8 ), hence

(- 9, 2) → (- 9 + 3, 2 - 8) → (- 6, - 6)

Answer 2

If the Hexagon is translated 8 units down, you subtract 8 from the y. So this would be 2-8=-6. The hexagon was translated 3 units right which means you add 3 to the x. This would be -9+3=-6

So the answer is (-6,-6)