Answer:
See explanation
Step-by-step explanation:
Assuming rectangle QRST has coordinates at T(2,-4), then we can find the coordinates of the image rectangle after a dilation by scale factor of 2 through the origin.
We just multiply the coordinates of T by 2 to get the coordinates of of T'.
[tex]T(2,-4)\to \: T'(2*2,2×-4)[/tex]
[tex]T(2,-4)\to \: T'(4, - 8)[/tex]