# How do you graph the function, label the vertex, axis of symmetry, and x-intercepts. #x-4 = 1/4 (y+1)^2#?

##### 1 Answer

The vertex is at (

The axis of symmetry is

The

There are no

#### Explanation:

The standard form for the equation of a parabola is

Your equation is

We must get this into standard form.

This is standard form, but with

We are going to get a sideways parabola.

**Vertex**

Since

The

Insert this value of

The vertex is at (

**Axis of symmetry**

The axis of symmetry must pass through the vertex, so

The axis of symmetry is

To find the

The

To find the

The discriminant

Since

There are no

**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.

And we have our graph. The red line is the axis of symmetry.