We want to write the equation of the that passes through the points and Note that the coordinate of two of the points is Therefore, we know that and are the of the .
Consider the of a quadratic function.
In this form,
intercepts. Therefore, we know that, for our equation, it is
Since the parabola passes through the point
we can substitute
in the above equation, and solve for
we can write the full equation of the parabola.