# How do you find the vertex and intercepts for #y = 3x^2 - 6x - 4#?

##### 1 Answer

vertex:

y-intercept:

x-intercepts:

#### Explanation:

One way to find the **vertex** is to convert the given equation into vertex form:

which is the vertex form for a parabola with vertex at

the **y-intercept** can be found by setting

The **x-intercepts** are a bit more work, but can be found by setting

I find this easiest with the vertex form above:

A graph of the original equation might help show that these results are reasonable:

graph{3x^2-6x-4 [-4.13, 11.67, -7.17, 0.73]}