To understand the transformation from f(x) to g(x), we start by looking closely at their equations.
Given:
- f(x) = 3x
- g(x) = 3x + 1
In this case, we can see that g(x) is derived from f(x) by adding 1 to the output of f(x). This addition affects the vertical position of the graph of the function.
Specifically, adding 1 to the function means that we are shifting the entire graph of f(x) upwards by 1 unit. This transformation does not change the slope of the line, which remains 3; it simply raises every point on the graph by 1 unit.
In summary, the transformation from f(x) to g(x) can be described as a vertical shift upward by 1 unit.