Write the equation of a parabola given vertex, axis of symmetry & point it passes through

The video tutorial explains how to write the equation of an ellipse given the vertex, a point, and the axis of symmetry. It starts by identifying the type of equation based on whether the axis of symmetry is vertical or horizontal. The instructor then plots the vertex and a given point to understand the graph's orientation. Using the vertex form, the equation is formulated, and the focus is calculated by solving for P using the given points. Finally, the equation is finalized, demonstrating how to solve for Y and derive the final equation.

What is the first step in writing the equation of an ellipse when given the vertex, a point, and the axis of symmetry?

How do you determine whether the equation of the ellipse will have a vertical or horizontal axis of symmetry?

What is the significance of the vertex in the equation of the ellipse?

How do you find the value of P in the equation of the ellipse?

What is the final equation of the ellipse derived from the given vertex and point?