Question 1062481
You have a choice.
x=ay^2+by+c if you want symmetry axis parallel to the x-axis;
y=ax^2+bx+c if you want symmetry axis parallel to the y-axis;
or something with xy term if some other symmetry axis.


Each given point gives a separate, specific equation.  Make THREE such equations, and solve for a, b, c, in the linear system.  Do you need to see this done or started?