Learn to write the equation of a parabola given the focus and vertex at the origin

The video tutorial explains how to write the equation of an ellipse given the focus and vertex. It begins by identifying the axis of symmetry and the graph's orientation. The standard form equation for a vertical axis of symmetry is introduced, and values are substituted into this equation. Finally, the tutorial demonstrates solving for Y, concluding with the equation of a parabola.

What is the first step in writing the equation of the ellipse given the focus and the vertex?

How do you determine the axis of symmetry for the graph of the ellipse?

How is the standard form of the equation for a vertical axis of symmetry written?

What are the coordinates of the vertex in this example?

What does the variable P represent in the context of the ellipse?