# How do you determine the vertex and direction when given a quadratic function?

##### 1 Answer

There are two forms a quadratic function could be written in: standard or vertex form. Here are the following ways you can determine the vertex and direction dependent on the form:

**Standard Form** (

1. Direction of the parabola can be determined by the value of a. If a is positive, then the parabola faces up (making a u shaped). If a is negative, then the parabola faces down (upside down u).

2. Vertex can be found by

Here is an example:

to find the vertex:

then plug that value into the equation

Vertex is (1,-1)

**Vertex Form** (

1. Direction of the parabola can be determined by the value of a. If a is positive, then the parabola faces up (making a u shaped). If a is negative, then the parabola faces down (upside down u).

2. Vertex is (h,k).

Here is an example: