Write the equation of a parabola given a vertex and point

The video tutorial begins with a review of linear equations using the point-slope method. It then transitions to quadratic equations, focusing on finding the equation of a parabola given a vertex and a point. The instructor explains how to solve for the parameter 'a' in the quadratic equation using these given values. Finally, the tutorial demonstrates how to finalize the quadratic equation in vertex form.

Explain how to find the value of 'a' in the equation of a parabola.

What is the final equation of the parabola when given a point and a vertex?