Write the equation of the parabola for conic sections given vertex and focus (mistake)

The video tutorial explains how to write the equation of a parabola given its vertex and focus. It begins by identifying whether the axis of symmetry is horizontal or vertical based on the vertex and focus positions. The tutorial then formulates the parabola equation using these points and calculates the value of P, the distance from the vertex to the focus. Finally, it demonstrates how to convert the equation into standard form.

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

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

What is the vertex of the parabola mentioned in the text?

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

Explain how to find the value of P in the equation of the parabola.