Question

How do you graph `y=lnx+3`?

Answer 1

Take a look here: https://www.desmos.com/calculator/a44ouq9kvv

Explanation:

It's best to always have in mind what the reference function looks like (`y = lnx` in this case)

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

Now, the function `y = lnx +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 `(1,3)`

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

Hope you understand this topic a little better now!