# How do you graph y=lnx+3?

Mar 4, 2017

#### Explanation:

It's best to always have in mind what the reference function looks like ($y = \ln x$ in this case)

We know that the function $y = \ln x$ has an $x$-intercept at $x = 1$ or ($1 , 0$) so we can use that as a reference point.

Now, the function $y = \ln x + 3$ asks to move all values up 3 units so if we take that reference point I mentioned earlier and move it up 3 units you'll get the point $\left(1 , 3\right)$

In essence, when you graph $y = \ln x + 3$ all you're really doing is moving the entire graph up 3 units so its the same graph $y = \ln x$ just moved up 3 units.

Hope you understand this topic a little better now!