A quadratic function with equation:
f(x) = ax^2/2 + bx + c
Passes through the points
(0,2) and (2,-6)
And has a gradient of 1 at x=3.
Solve for the constants a, b and c.
I have c, which is 2, however i have no idea how to find the others.
I understand differentiation and know how to do it etc, i am just not sure about how to apply it to this question/ do the simultaneous equations required.
Just for reference, the answers are :
A = 5/2