Answer:
Second option {x | x > 7}
Step-by-step explanation:
We have the function

We know that the square root of a negative number has no solution in the real ones. Therefore the domain of this function is 
When applying the transformation:
we have a translation of the original function in 7 units to the right and 2 units to the top:

In the same way we must guarantee that 
Then
.
Therefore the domain of f(x) is {x | x > 7}
A. True. This is because distances are preserved and kept the same.
B. True. Moving any point to it's corresponding image is having you travel 8 units.
C. True. Corresponding angles are congruent.
D. False. This is not always true so in general it's false.
The final answer is choice D