Question

Please help! 40 points!

Answer 1

(x, y ) → (
`(1)/(2)` x ,
`(1)/(2)` y )

Explanation:

Under a dilatation centred at the origin

Then the original coordinates are multiplied by the scale factor of the dilatation.

given the point

M(12, 16 ) → M' (6, 8 ), then

scale factor =
`(image)/(original)` =
`(6)/(12)` =
`(1)/(2)` ← for x- coordinates

and
`(8)/(16)` =
`(1)/(2)`

Thus to obtain M' from M , multiply the coordinates of M by
`(1)/(2)`

The translation rule is then

(x, y ) → (
`(1)/(2)` x ,
`(1)/(2)` y )