Given a point and vertex learn to write the equation of the parabola

The video tutorial explains the concept of horizontal axis symmetry in parabolas, focusing on plotting points and determining the graph's orientation. It discusses the importance of the value of P, which indicates the direction of the parabola's opening. The tutorial covers the equation of a parabola, emphasizing the vertex representation and solving for P using given points. Finally, it demonstrates how to find the standard form of the parabola equation.

What is the general form of the equation for a parabola that opens horizontally?

What does the distance P represent in relation to the vertex and the focus of the parabola?

How can you derive the value of P using known points on the parabola?