What do you need to know to write the equation of a parabola

This video tutorial introduces the key concepts needed to understand parabolas in conic sections. It covers the differences between standard and vertex forms, and introduces new formulas for parabolas that open left or right. The tutorial also explains important characteristics such as the axis of symmetry, focus, vertex, and directrix, which are essential for understanding parabolas. The video concludes with a summary of the basic concepts required to start the course.

What are the two new formulas introduced for parabolas that open to the left or right?

What characteristics determine whether a parabola opens up/down or left/right?

Explain the significance of the axis of symmetry in a parabola.

Define the terms focus, vertex, and directrix in relation to a parabola.

What is the importance of understanding the vertex of a parabola?