# Question #9c59d

Nov 5, 2017

See explanation

#### Explanation:

Graph of $l g \left(x - 3\right)$ is the same as that for $\log \left(x\right)$ but 'shifted' right by 3

The +2 just 'shifts' the whole thing upwards by 2

Note that $\log \left(x\right)$ is undefined for $x \le 0$

So $\log \left(x - 3\right)$ is undefined for $x \le 3$ resulting in a vertical asymptote as $x$ tends to ${\textcolor{w h i t e}{}}^{+} 3$

So the general shape is that of the top $\frac{1}{2}$ of type $\subset$