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anonymous

  • one year ago

Given the function f(x) = x2 and k = –3, which of the following represents a vertical shift?

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  1. anonymous
    • one year ago
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    f(x) + k kf(x) f(x + k) f(kx)

  2. SolomonZelman
    • one year ago
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    when you are dealing with any function \(f(x)=x^w\), a vertical shift is: \(f(x)=x^w+c\) (shift up), OR \(f(x)+x^w-c\) (shift down).

  3. SolomonZelman
    • one year ago
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    does this help, or not?

  4. SolomonZelman
    • one year ago
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    I mean \(fx)=x^w-c\) for the last equation ...

  5. SolomonZelman
    • one year ago
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    btw, you don't need to know the value of the k to answer this question.

  6. anonymous
    • one year ago
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    yes this helps.

  7. SolomonZelman
    • one year ago
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    Ok, and your answer is?

  8. anonymous
    • one year ago
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    would it be d?

  9. SolomonZelman
    • one year ago
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    I guess it didn't help at all....

  10. SolomonZelman
    • one year ago
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    it seems as though you are guessing....

  11. anonymous
    • one year ago
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    I'm trying to understand

  12. anonymous
    • one year ago
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    okay wait would it be a?

  13. anonymous
    • one year ago
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    im so bad at math sorry I'm really trying to get this

  14. SolomonZelman
    • one year ago
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    Say you have a function \(f(x)=x^w\) -------------------------------- \(f(x\cdot k)=(x\cdot k)^w\) that is just increasing the base, and gives you a different function. \(f(x)+c=x^w+c\) ~ shift up when c>0 ~ shift down when c<0. \(kf(x)=k(x)^w\) ~ you are stretching the function when k>1, ~ shrinking when 0<k<1, ~ reflecting the function across x axis and then shrinking it when -1<k<0, ~ reflecting the function across x axis and stretching it when k<-1. \(f(x+k)=(x+k)^w\) ~ shift right when k<0 ~ shift left when k>0

  15. anonymous
    • one year ago
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    so it would be a

  16. SolomonZelman
    • one year ago
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    yes, A is the correct answer.

  17. anonymous
    • one year ago
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    thank you! it was right.

  18. SolomonZelman
    • one year ago
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    :)

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