Answer:
f(x - 7) - 4 (if f(x) is the original function)
Explanation:
The equation of a circle is:
, where (h, k) is the centre and r is the radius.
The original function is a circle with centre at (0, 0) and radius 1. The new function is a circle with centre at (7, -4) and radius 1. So it's simply a translation of the first one.
In fact, it's just a translation 7 units right and 4 units down. So the function notation is f(x - 7) - 4, where f(x) is the original function.