Question

Given points P(4,12), Q(8,-8), and R(-4,-2) what would be P’ if (1/2 x + 3, 1/2 y - 4)?

Answer 1

P' (5, 2 )

Explanation:

under a translation

(
`(1)/(2)` x + 3,
`(1)/(2)` y - 4 )

means half the original x- coordinate and add 3

half the original y- coordinate and subtract 4

P (4, 12 ) → (
`(1)/(2)` (4) + 3,
`(1)/(2)` (12 - 4 ) → P' (2 + 3, 6 - 4 ) → P' (5, 2 )