# How do you find the vertex and intercepts for #g(x) = x^2 - 9x + 2#?

##### 1 Answer

Vertex:

x-intercepts:

y-intercept:

#### Explanation:

This equation is in standard form, or

The **vertex** is the **highest or lowest point on the graph**, depending on the coefficient (value before the

To find the vertex, we first find the

In our equation, we know that

Now let's find the

So our vertex of the equation is

To find the x-intercepts...

We plug in

Now, to solve this, we need to use the quadratic formula, which is this long equation :(

To find the y-intercepts...

We plug in

So our y-intercept is at

To show that the vertex and intercepts are correct, here is a graph of this equation:

If you need more help on this type of question, feel free to watch this video:

If you need more help on quadratic formula, feel free to watch this video:

Hope this helps!