How to write the standard equation of a parabola given the focus and vertex

The video tutorial explains how to write the equation of a parabola given its vertex and focus. It begins by determining the direction in which the parabola opens by plotting the vertex and focus. The tutorial then derives the equation using the vertex at the origin and calculates the parameter P, which represents the distance from the vertex to the focus. The final equation is presented, and the tutorial concludes with a summary of the process.

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