The function f(x) is a logarithmic function that has been translated horizontally. The graph of f(x) is shown below. Enter f(x)
![The function fx is a logarithmic function that has been translated horizontally The graph of fx is shown below Enter fx class=](https://us-static.z-dn.net/files/d3a/c213e6edc4016aa786dd28116fe94573.png)
Answer:
[tex]f(x)=\log(x-3)[/tex]
Step-by-step explanation:
The parent logarithmic function, f(x) = log(x), has a vertical asymptote at x = 0. It begins in quadrant IV, passes through the x-axis at point (1, 0) and continues into quadrant I. The end behaviours are:
When the parent logarithmic function is translated horizontally by n units, we add n to x when the translation is to the left, and subtract n from x when the translation is to the right.
The given graphed logarithmic function crosses the x-axis at point (4, 0), which indicates that it is the parent logarithmic function translated 4 units to the right. Therefore, the equation of the graphed function is:
[tex]\Large\boxed{f(x)=\log(x-3)}[/tex]