Given a quadratic function f (x) f (0) = - 5F (- 1) = - 4f (2) = 5, find the expression of this function

Given a quadratic function f (x) f (0) = - 5F (- 1) = - 4f (2) = 5, find the expression of this function

Let f (x) = ax ^ 2 + BX + C
yes,
c=5
-5a+5b-5c=5
-16a-8b-4c=5
The solution
a=-73/24
b=71/24
c=5
So the analytic expression is
f(x)=-73/24*x^2+71x/24+5