Answer:
The graph of 5f(x) grows faster than the graph of f(x)
The graph of f(x) + 5 is shifted 5 units up from the graph of f(x).
Explanation:
If the function g(x) = f(x) + c, we can say that g(x) is f(x) shifted c units up and if the function g(x) =cf(x), with c greater than 1, we can say that g(x) is a vertical stretch of f(x) by a factor of c.
Therefore, the graph of 5f(x) grows faster than the graph of f(x) because it is a vertical stretch of f(x) by a factor of 5, and the graph of f(x) + 5 is f(x) shifted 5 units up.
So, the answers are:
The graph of 5f(x) grows faster than the graph of f(x)
The graph of f(x) + 5 is shifted 5 units up from the graph of f(x).
