Learning to write the equation of a parabola given three different points

The video tutorial explains how to write the equation of a quadratic using the vertex form, especially when given three points on a graph. It covers creating and simplifying equations, solving systems of equations, and using the elimination method to find the values of variables. The tutorial concludes with determining the final quadratic equation.

What is the vertex form of a quadratic equation?

Explain the process of creating three equations from three points on a quadratic graph.

How do you determine the values of a, b, and c in a quadratic equation from given points?

How do you simplify the equations after substituting the values of x and y?

What is the significance of knowing the value of C in a quadratic equation?

Describe the elimination method for solving systems of equations.

What challenges might arise when solving for the coefficients in a quadratic equation?