Answer:
[tex]G = (-4,-1)[/tex]
Step-by-step explanation:
Given
[tex]G = (-8,-2)[/tex]
[tex]k = \frac{1}{2}[/tex]
Required
Determine the image
The image G', is calculated using:
[tex]G' = G * k[/tex]
Substitute values for G and k
[tex]G' = (-8,-2)* \frac{1}{2}[/tex]
[tex]G' = (-8* \frac{1}{2},-2* \frac{1}{2})[/tex]
[tex]G = (-4,-1)[/tex]