Given that f (x) is a quadratic function and the image passes through a (2. - 3), B (- 2. - 7) and C (0. - 3), what is the analytic expression of F (x)

Given that f (x) is a quadratic function and the image passes through a (2. - 3), B (- 2. - 7) and C (0. - 3), what is the analytic expression of F (x)

Let f (x) = ax & # 178; + BX + C
It also passes through points a (2. - 3), B (- 2. - 7) and C (0. - 3)
be
4a+2b+c=-3①
4a-2b+c=-7②
c=-3③
① - 2, get
4b=4
b=1
Substituting B = 1, C = - 3 into 1, we get
4a+2-3=-3
4a=-2
a=-1/2
therefore
f(x)=-1/2x²+x-3