Write the equation of a parabola given vertex and directrix

The video tutorial explains the process of plotting information on an X&Y axis to understand equations better. It emphasizes the importance of graphing and labeling key points like the vertex and directrix. The tutorial guides viewers on determining the graph's orientation based on the directrix and vertex, ensuring it opens correctly. It also covers calculating the distance between the vertex and directrix to find the focus and choosing the correct equation based on whether the graph opens up, down, left, or right.

Why is it important to label the initial point and other key features on a graph?

What is the equation of a parabola that opens up or down, and how do you derive it?