If is a point on the parabola, then which means that for any arbitrary constant . Further for any arbitrary constant . And finally,
For simplicity's sake name a new arbitrary constant , then:
Then
Having said all of that, since you asked for an equation with the given zeros, pick any value for that you like ( works fine), and write the specific equation that suits your mood.
John
My calculator said it, I believe it, that settles it
