# What is the axis of symmetry and vertex for the graph # y=x^2-4x-3#?

##### 1 Answer

Axis of Symmetry at:

Vertex at:

#### Explanation:

Note: I'll use the terms Turning Point and Vertex interchangeably as they are the same thing.

**Let's first have a look at the vertex of the function**

**Consider the general form of a parabolic function:**

If we compare the equation that you have presented:

We can see that:

The

The

The constant term is -3; this implies that

Therefore, we can use the formula:

to determine the

Substituting the appropriate values into the formula we get:

Therefore, the

**Substitute #x=2# into the given equation to determine the #y# value of the vertex. **

Therefore, the

From both the

**Now let's have a look at the function's Axis of Symmetry:**

The axis of symmetry is essentially the

If we have determined the