We will have the following:
*When f(x) becomes f(x) + 2:
If the function increases by 2 units, then the y-intercept will also increase by two units [On the y-axis] regardless of the nature of the function.
*When f(x) becomes 1/2*f(x):
If the overall function is scaladed by a factor of 1/2 then the y-intercept will remain in the same point regardless of the nature of the function.