Learning to write the standard form of a parabola given the focus and vertex

The video tutorial explains how to determine the orientation of a parabola given its vertex and focus. It covers plotting the vertex, understanding the parabola's direction, and deriving the equation using the vertex and focus. The tutorial also explains how to calculate the P value and finalize the equation in standard form, emphasizing the importance of the vertex format in the equation.

Explain how to determine the P value in the context of a parabola.

What does the standard form of the parabola look like when the vertex is at (0, 0)?