# How do you graph y=log(x+6)?

Jul 14, 2016

Shift the $y = \log \left(x\right)$ graph 6 units to the left.

#### Explanation:

In general, the graph of $y = f \left(x - a\right)$ is the same as that of $y = f \left(x\right)$, except that it is shifted along the $x$ axis by $a$.

In case you have forgotten what the $y = \log \left(x\right)$ looks like, it is what you get when you reflect the $y = {e}^{x}$ graph about the line $y = x$. (This works for all invertible functions and their inverse functions)