# How do you find the vertex and the intercepts for #f(x)=2x^2-12x+21#?

##### 2 Answers

#### Explanation:

The vertex is the minimum of the function, so if we set the standard notation

The intercepts are the roots of

**Y-intercept:**

**Vertex:**

**No x intercepts**

#### Explanation:

**Y-intercept:**

Find

**Vertex-** Complete the square of the equation

Looking at the vertex form, the vertex is at

**X-intercepts:**

Methods include using the quadratic formula, factoring, graphing, or completing the square/vertex form.

Using vertex form as found above:

This is a square root of a negative number, meaning the function has no