# How do you graph f(x)=2+ln x?

Feb 22, 2017

$f \left(x\right) = 2 + \ln x$ is shifted up 2 units from $f \left(x\right) = \ln x$

#### Explanation:

The parent function is $\ln x$ which has a vertical asymptote at $x = 0$ and passes through the point $\left(1 , 0\right)$

$f \left(x\right) = 2 + \ln x$ is shifted up 2 units from $f \left(x\right) = \ln x$

$y = \ln x$:
graph{lnx [-10, 10, -5, 5]}

$y = \ln x + 2$:
graph{ln(x) +2 [-10, 10, -5, 5]}