Vertex 1,-3
Parabola vertex form y = a (x-1)^2 - 3 sub in one of the points (3,2) to calculate 'a'
2 = a (3-1)^2 - 3
2 = 4a - 3
a = 5/4
y = 5/4 (x-1)^2 -3 is your parabola expand it to get the 'quadratic'
f(x) = 5/4 x^2 - 5/2 x + 5/ 4 - 3
= 5/4 x^2 - 5/2 x - 7/4