# How do you graph and find the vertex for # y=2abs(x-4)+ 1#?

##### 1 Answer

The vertex is at (

#### Explanation:

The standard form for an absolute value equation is

Your equation is

So

**Vertex**

The vertex is at

The

The vertex is at (

**Graph**

Now we prepare a table of

The axis of symmetry passes through

Let's prepare a table with points that are 5 units on either side of the axis, that is, from

Plot these points.

graph{2|x-4|+1 [-1, 10, -1, 10]}

And we have our graph.