Answer:
A. Translation
Explanation:
Given
Preimage
![J = (-6,9)](https://img.qammunity.org/2022/formulas/mathematics/college/sale1ivj2tu4bwvfvr8ljvqlvjkpvxh0xt.png)
![K = (-6,4)](https://img.qammunity.org/2022/formulas/mathematics/college/opxjcr7evfvd42pyh8x5duiioel8cz0v53.png)
![L = (-3,4)](https://img.qammunity.org/2022/formulas/mathematics/college/a8yxgqv1lcsu0o695gjuxxeizytlk25hiq.png)
Image
![J' = (2,9)](https://img.qammunity.org/2022/formulas/mathematics/college/x5r73u1in6igd3oe8hzvl9dz6zhb6cpfkk.png)
![K' = (2,4)](https://img.qammunity.org/2022/formulas/mathematics/college/e2hut7wua0girodpwewkcr2jj81amy4i2m.png)
![L' = (5,4)](https://img.qammunity.org/2022/formulas/mathematics/college/tovh0f0l4m605lbiqeifpa6mocn1uar6ou.png)
Required
Which transformation occurred
The transformation that occurs is translation because each of the preimage were translated or shifter right by 8 units.
The rule applied here is:
![(x,y)=>(x+8,y)](https://img.qammunity.org/2022/formulas/mathematics/college/46xx3c7ub9ha969fovvtkyhtsn5b1tbpqo.png)
So, we have:
![==> (-6+8,4) = (2,4)](https://img.qammunity.org/2022/formulas/mathematics/college/a5m41nwufhnpww42fl41cqg7udn74qovlb.png)
![==> (-3+8,4) = (5,4)](https://img.qammunity.org/2022/formulas/mathematics/college/l4rsgcc2wmqe61vyysokvv10vhctxpp3de.png)
Hence, the transformation is (a) Translation