Let f(x)=3x^2+6x-10For which input x is the value of the function a minimum?

[Jurrasic]

And what is the minimum value?
( -b/2a is for a maximum problem, but how do you get through this kind of problem?)

 

[rock.freak667]

x=-b/2a will give you the stationary point for the quadratic. In f(x) =ax^2+bx+c, if a>0 is the stationary point maximum or minimum?

 

[SammyS]

And what is the minimum value?
( -b/2a is for a maximum problem, but how do you get through this kind of problem?)

For the quadratic, ax² + bx + c:

If the coefficient of x², which is a, is negative, then x = -b/2a, gives the x coordinate of the maximum.

If the coefficient of x², which is a, is positive, then x = -b/2a, gives the x coordinate of the minimum.