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)
[tex](-\frac{1}{2}\cdot0\text{ ,- }\frac{1}{2}\cdot2)\text{ = }(0\text{ , -1) }[/tex](-4 , 2)
[tex](-\frac{1}{2}\cdot\text{ (-4) , -}\frac{1}{2}\cdot2)\text{ = (2 , -1) }[/tex]The answer is:
(-0,2) ===> ( 0 , -1)
(-4,2) ===> (2 , -1)