The image of quadratic function passes through three points a (1 / 2,3 / 4), B (- 1,3), C (2,3),

The image of quadratic function passes through three points a (1 / 2,3 / 4), B (- 1,3), C (2,3),

Let y = ax ^ 2 + BX + C,
Then a / 4 + B / 2 + C = 3 / 4, (1)
a-b+c=3 ,(2)
4a+2b+c=3 ,(3)
The solution is a = 1, B = - 1, C = 1,
So y = x ^ 2-x + 1