Given the vertex and directrix, learn to write the standard form of a parabola

The video tutorial explains how to write the standard form of a parabola equation using a given vertex and directrix. It covers graphing the directrix, understanding the relationship between the focus and directrix, and calculating the focus. The tutorial concludes with formulating and simplifying the parabola equation.

What is the standard form of the equation of a parabola given its vertex and directrix?

How do you determine whether a parabola opens up, down, left, or right?

What is the relationship between the focus and the directrix of a parabola?

How do you find the coordinates of the focus given the vertex and directrix?

Explain the significance of the distance P in relation to the vertex and focus of a parabola.

What steps are involved in deriving the equation of a parabola from its vertex and directrix?

Describe how to simplify the equation of a parabola after expanding it.