Write the equation of a Parabola in standard form given the focus and directrix

The video tutorial explains how to write the equation of a parabola given a focus and directrix. It covers identifying the axis of symmetry, finding the vertex, and using these to formulate the parabola equation. The tutorial emphasizes the importance of understanding the relationship between the focus, directrix, and vertex, and provides a step-by-step guide to deriving the equation.

What is the focus of the parabola discussed in the text?

How can you determine if the axis of symmetry of the parabola is vertical or horizontal?

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

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

What is the equation of the parabola derived in the text?