The image of quadratic function is known to pass through points a (1 / 2,3 / 4), B (- 1,3), C (2,3), and its analytical formula is______ ?

The image of quadratic function is known to pass through points a (1 / 2,3 / 4), B (- 1,3), C (2,3), and its analytical formula is______ ?

Let y = ax & # 178; + BX + C,
a/4+b/2+c=3/4①
a-b+c=3 ②
4a+2b+c=3③
The solution is a = 1, B = - 1, C = 1,
∴ y=x²-x+1