Write the Equation of a Parabola Given Three Points

The video tutorial explains how to write the equation of a parabola in standard form using two methods: the intercept method and the three-point method. It emphasizes the importance of understanding standard form and demonstrates how to use intercepts and additional points to determine the equation. The tutorial also covers solving for the value of 'a' and using systems of equations when not all intercepts are available.

What happens to the graph of a parabola when the value of 'a' is negative?

How do you set up a system of equations when you do not have all X intercepts?

What is the relationship between the coefficients A, B, and C in the standard form of a parabola?

Explain the elimination method for solving systems of equations in the context of parabolas.