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margejean

  • 3 years ago

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

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  1. Mimi_x3
    • 3 years ago
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    Have you differentiated it?

  2. margejean
    • 3 years ago
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    No I have not. How do you do that?

  3. Mimi_x3
    • 3 years ago
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    do you know calculus?

  4. margejean
    • 3 years ago
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    No I havent taken that class yet. This is AP Stats.

  5. Mimi_x3
    • 3 years ago
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    Statistics..? This is Calculus. Or is there an algebra method to solve this?

  6. margejean
    • 3 years ago
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    This class is AP Stats but U guess it is just basic math review. (Algebra)

  7. margejean
    • 3 years ago
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    I mean I

  8. Mimi_x3
    • 3 years ago
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    Hm, I don't know the algebra method.. maybe @lgbasallote might know

  9. lgbasallote
    • 3 years ago
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    i dont know algebra sorry

  10. UnkleRhaukus
    • 3 years ago
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    when the first derivative is zero, there will be a minimum or maximum

  11. Mimi_x3
    • 3 years ago
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    is the algebra method got to do something with the vertex (-b)/2a?

  12. UnkleRhaukus
    • 3 years ago
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    yes Mimi_x3, that formula will give us the x-coordinate of the vertex,

  13. margejean
    • 3 years ago
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    um i am not sure, but i think if I use (-b)/2a the answer would be 5 or 2.5?

  14. UnkleRhaukus
    • 3 years ago
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    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

  15. Mimi_x3
    • 3 years ago
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    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 :)

  16. margejean
    • 3 years ago
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    I got 2.5.i hope its right. thank you for helping.

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