# What is the axis of symmetry and vertex for the graph #y = 2x^2 - 4x - 6#?

##### 1 Answer

**Axis of symmetry: #x = 1#**

**Vertex:**#(1, -8)#

#### Explanation:

This equation is a quadratic equation, meaning that it will form a parabola on the graph.

Our equation is in standard quadratic form, or

The **axis of symmetry** is the **imaginary line that runs through the graph where you can reflect it, or have both halves of the graph match**.

Here is an example of an axis of symmetry:

https://www.varsitytutors.com

The equation to find the axis of symmetry is

In our equation,

So let's plug in our

**So our axis of symmetry is #x = 1#.**

Now, we need to find the vertex. The **vertex** is the **minimum or maximum point on a quadratic function**, and its **x-coordinate is the same as the axis of symmetry**.

Here's are a couple examples of vertices:

http://tutorial.math.lamar.edu/

Since we already found our axis of symmetry,

To find the y-coordinate of the vertex, we plug that value back into the original quadratic equation for

Therefore, our **vertex is at #(1, -8)#.**

As an extra, here's the graph of this quadratic equation:

As you can see, the vertex of the graph is at

Hope this helps!