## Content

### The basic parabola

The graph of the quadratic function \(y=x^2\) is called a **parabola**. The basic shape can be seen by plotting a few points with \(x=-3\), \(-2\), \(-1\), 0, 1, 2 and 3.

Detailed description of diagram

We will refer to the above graph as the **basic parabola**. As we will see, all parabolas can be obtained from this one by translations, rotations, reflections and stretching.

The basic parabola has the following properties:

- It is symmetric about the \(y\)-axis, which is an
**axis of symmetry**. - The minimum value of \(y\) occurs at the origin, which is a minimum turning point. It is also known as the
**vertex**of the parabola. - The arms of the parabola continue indefinitely.