What is the minimum value of the function f(x)= 2x^2-10x+5?

Question

anonymous · Answer

which minimum value? The local(s) or absolute?

anonymous · Answer

I think it is both.

baldymcgee6 · Answer

(2.5,-7.5) is your absolute minimum

campbell_st · Answer

the minimum is on the line of symmetry

found by letting

$$x = \frac{-b}{2a}$$

once you have x substitute it into the function to find the minimum value

anonymous · Answer

Would the answer be -7.5 or 2.5?

baldymcgee6 · Answer

x=2.5

campbell_st · Answer

a concave up parabola will only have an absolute minimum...

campbell_st · Answer

the ordered pair is always (x, f(x))

anonymous · Answer

It is (-7.5, 2.5) a pair of coordinates

baldymcgee6 · Answer

@Angelo585 are you asking or telling?

anonymous · Answer

@baldymcgee6 I didn't do the math on it, but using someone else's answer that made sense, and he asked if it was -7.5 or 2.5 and I was just pointing out that it was them as a pair of coordinates

baldymcgee6 · Answer

@Angelo585 either way you have the coordinate pairs mixed up. It should be (2.5,-7.5)

baldymcgee6 · Answer

http://www.wolframalpha.com/input/?i=%20f(x)%3D%202x%5E2-10x%2B5

anonymous · Answer

Thank you very much for helping me.