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fibonacci_girl

  • 3 years ago

rtex of the quadratic equation: y = 2x2 + 12x − 4.

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  1. love_math
    • 3 years ago
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    rtex?

  2. fibonacci_girl
    • 3 years ago
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    vertex

  3. mathTalk
    • 3 years ago
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    2(x^2 + 6x-2)=0 x^2+6x-2=0 x = (-6+(36+8)^(1/2) / 2 x= some complex

  4. mathTalk
    • 3 years ago
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    what is a vertex ?

  5. fibonacci_girl
    • 3 years ago
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    yes i need coordinates

  6. love_math
    • 3 years ago
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    let the vertex=(x,y)

  7. love_math
    • 3 years ago
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    then x=-b/za, according to y=ax^2+bx+c

  8. love_math
    • 3 years ago
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    x=-b/2a

  9. love_math
    • 3 years ago
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    so the answer is (-3,-22), do you understand?

  10. mathTalk
    • 3 years ago
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    f'(x)=2(2x+6)=0 x = -3 y = -22 f''(x)=4 >0 hence local minimum (-3,-22) ??

  11. fibonacci_girl
    • 3 years ago
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    yes thanks

  12. love_math
    • 3 years ago
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    yes ,the minimum is -22

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