Answer:
Dilation
Explanation:
Given
Main function: f(x)
Resulting function: 5f(x)
Required
Which transformation exists between both functions
The general explanation is that:
When a function f(x) is multiplied by a constant k, the resulting function g(x) is a dilation of f(x).
Mathematically, if the following relationship exists between f(x) and g(x)
g(x) = k.f(x)
Then g(x) is a dilation of f(x) and k is the constant of proportionality or dilation ratio
In this case:
g(x) = 5f(x)
So, the transformation that answers the question is dilation.