Master Writing the equation of a parabola given the focus or directrix vertex at origin

The video tutorial explains how to write the equation of a parabola with a vertex at the origin, given either the focus or the directrix. It covers the importance of understanding the value of P, which represents the distance from the vertex to the focus or directrix, and how the direction of P affects the parabola's orientation. The tutorial includes examples of both horizontal and vertical parabolas, demonstrating how to plot given information and solve for the parabola's equation in both conic section and standard forms.

What is the significance of the vertex in the equation of a parabola?

What does the variable P represent in the context of a parabola?

How do you plot the information given for a parabola?

Explain how to determine if a parabola opens up or down based on the focus.

What is the relationship between the directrix and the axis of symmetry of a parabola?

In what form can the equation of a parabola be expressed, and how do you convert between these forms?

Describe the process of writing the equation of a parabola given its focus and directrix.