Given 2 points - how to find the quadratic equation?

For example' if i have

point1= (1,2)

point1= (3,2)

how to find the quadratic equation?

and how to find the maximum of the function?

[Dyuman Joshi]

This looks like a homework question.

How do you solve the question by hand? You have 2 equations of degree 2 and 1 variable. You follow the same approach while making a code for it.