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anonymous

  • one year ago

Given the functions f(x) = 3x2, g(x) = x2 − 4x + 5, and h(x) = –2x2 + 4x + 1, rank them from least to greatest based on their axis of symmetry.

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  1. welshfella
    • one year ago
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    f(x) = 3 x^2 when x = 0 f(x) = 0 so what is the axis of symmetry of this function?

  2. anonymous
    • one year ago
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    f(x)=0

  3. welshfella
    • one year ago
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    no its x = 0 - in other words its the f(x) ( or y axis) |dw:1434834269396:dw|

  4. anonymous
    • one year ago
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    -1/6

  5. welshfella
    • one year ago
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    ?? - what is -1/6??

  6. anonymous
    • one year ago
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    f(x) axis of symmetry

  7. welshfella
    • one year ago
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    you've lost me!! axis of symmetry for which function?

  8. welshfella
    • one year ago
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    the axis of symmetry is a vertical line for these functions and is x = something

  9. welshfella
    • one year ago
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    |dw:1434834621668:dw|

  10. welshfella
    • one year ago
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    the axis of symmetry is the vertical line cutting the curve in 2.

  11. anonymous
    • one year ago
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    ok shouldn't I use -b/2a to find it??

  12. welshfella
    • one year ago
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    yes - but in the case of 3x^2 you needn't use it but you can - note that b = 0 in this case so -b/2a = 0/6 = 0

  13. welshfella
    • one year ago
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    so its x = 0

  14. anonymous
    • one year ago
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    Ok. So what about g(x)?

  15. anonymous
    • one year ago
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    would that one be 2?

  16. welshfella
    • one year ago
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    -b / 2a = -(-4) / 2 = 4/2 = 2 yes

  17. welshfella
    • one year ago
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    for h(x) its -4 / 2* -2 = -4 / -4 = 1

  18. welshfella
    • one year ago
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    least to greatest is f(x) , h(x), g(x) 0,1,2

  19. welshfella
    • one year ago
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    ok

  20. anonymous
    • one year ago
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    Given the function f(x) = x2 and k = 2, which of the following represents a horizontal shift? f(x) + k kf(x) f(x + k) f(kx)

  21. anonymous
    • one year ago
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    @welshfella

  22. welshfella
    • one year ago
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    without giving you a direct answer here is an example if we have f(x) = x^2, f(x+1)^2 will shift the graph horizontally 1 unit to the left

  23. welshfella
    • one year ago
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    * that is f(x + 1) = (x + 1)^2

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