Question

suppose the parallelogram on the coordinate plane was dialated with repect to the origin using a magnitude of 1/2 what would be the coordinates of vertex D (2,-2)

Answer 1

Dilating with center at the origin by a factor of 1/2 multiplies each coordinate by 1/2.
So D(2, −2) becomes (2·1/2, −2·1/2) = (1, −1).