Both of these functions have a common feature: they both involve a shift in the y-direction. In the function f(x) = 5e^x+5 - 5, the constant term of -5 shifts the graph downward by 5 units. Similarly, in the function g(x) = 0.5 (x - 5)2 - 5, the constant term of -5 shifts the graph downward by 5 units as well.
This means that both functions have a vertical shift of 5 units downward. It's interesting how different mathematical expressions can share similar characteristics, isn't it?
If you have any more questions or need further clarification, feel free to ask!