# How do you graph #y=log_2 (x-2)#?

##### 2 Answers

#### Answer:

Answer Below:

#### Explanation:

We know how to sketch

graph{lnx [-4.04, 15.96, -4.88, 5.12]}

But

The asymptote for

The

So the asymptote for

The new

As indicated on the second graph

#### Answer:

See below

#### Explanation:

First, Let's find the domain:

Now we know that this logaritmic function will be approching x=2 but will never get there.The base equals 2 which is greater than 1 so that means It's increasing its value on the whole domain.

Intercept x axis: [3,0]

We can find it by equation but it's much easier to simply think like this:

Doesn't intercept y axis

Next point could be when y=1. (Let's do an equation this time)