Learn how to write the equation of a parabola given the vertex through a point

The video tutorial explains the vertex and standard forms of parabolas, focusing on how to write the equation of a parabola given a vertex and a point. It emphasizes using the vertex form when the vertex is known, and demonstrates solving for the variable 'a'. The tutorial also covers the final equation and discusses the graph's behavior, including vertical compression and horizontal stretch.

What is the vertex form of a parabola?

How do you determine which formula to use when given a vertex and a point?

What do H and K represent in the vertex form of a parabola?

Explain the process of finding the value of 'a' in the vertex form equation.

What does it mean if the value of 'a' is less than one in the context of a parabola?