In this case, we'll have to carry out several steps to find the solution.
tep 01:
Data
scale factor of dilation = -1/2
(-0,2) ===> ?
(-4,2) ===> ?
Step 02:
scale factor of dilation = -1/2
(-0 , 2)
![(-(1)/(2)\cdot0\text{ ,- }(1)/(2)\cdot2)\text{ = }(0\text{ , -1) }](https://img.qammunity.org/2023/formulas/mathematics/college/tos9wbd6avw4hbnzr78sopx9fmi1po0sqs.png)
(-4 , 2)
![(-(1)/(2)\cdot\text{ (-4) , -}(1)/(2)\cdot2)\text{ = (2 , -1) }](https://img.qammunity.org/2023/formulas/mathematics/college/tohztzonlfq5q0nwkeshhd8wm1apkfjc9s.png)
The answer is:
(-0,2) ===> ( 0 , -1)
(-4,2) ===> (2 , -1)