Answer:
(x, y) → (2x - 2, 2y - 1)
Explanation:
The original length from Point E to Point G was 2. The length after the figure was transformed is 4. This means that the value of x was multiplied by 2 because 2(the original value) multiplied by 2 equals 4(the new value.)
After the x value is doubled, Point E is found at x = 0 when the transformed Point E is at x = -2. This tells us that the x value has to decrease by 2 after it is doubled.
The original length from Point F to Point H was 4. The length after the figure was transformed is 8. This means that the y value doubled in value, which is the same as saying it was multiplied by 2.
After you double the y value, Point F is found at y = 9, but the fully transformed figure's Point F is found at y = 8. This means that after the y value is doubled it should decrease by 1.
I hope this helps, and let me know if you have any other questions :)