Learn how to find the equation of a parabola given focus and vertex conic sections

The video tutorial explains how to analyze a parabola by identifying its vertex and focus, understanding the graph's structure, calculating the directrix and axis of symmetry, and deriving the equation of the parabola. The teacher guides students through the process of visualizing and writing the equation, emphasizing the relationship between the vertex, focus, and directrix.

How can you identify whether a parabola opens upwards or downwards?

What is the equation of a parabola that opens upwards, and how is it derived?