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margejean
What is the minimum value of the function: f(x)=2x^2-10x+5?
Have you differentiated it?
No I have not. How do you do that?
No I havent taken that class yet. This is AP Stats.
Statistics..? This is Calculus. Or is there an algebra method to solve this?
This class is AP Stats but U guess it is just basic math review. (Algebra)
Hm, I don't know the algebra method.. maybe @lgbasallote might know
i dont know algebra sorry
when the first derivative is zero, there will be a minimum or maximum
is the algebra method got to do something with the vertex (-b)/2a?
yes Mimi_x3, that formula will give us the x-coordinate of the vertex,
um i am not sure, but i think if I use (-b)/2a the answer would be 5 or 2.5?
the value is the f(x), so sub x=-b/2a into f f(-b/2a)= to get the value of f(x) that the minimum
Vertex: \[\large \left(-\frac{b}{2a},a\left(-\frac{b}{2a}\right)^{2}+b\left(-\frac{b}{2a}\right)+C\right) \] a> 0 => its a min a<0 => its a max. however, the calculus method is more nicer :)
I got 2.5.i hope its right. thank you for helping.