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anonymous

  • one year ago

Will give medal for help

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  1. anonymous
    • one year ago
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    What is the average rate of change from x = –4 to x = 1? –3 –1 0 1

  2. anonymous
    • one year ago
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  3. Jhannybean
    • one year ago
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    Average rate of change = \(\dfrac{f(x)-f(a)}{x-a}\)

  4. Jhannybean
    • one year ago
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    So your function is shifted to the left an its vertex is at (-1,5) How can we write that?

  5. Jhannybean
    • one year ago
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    This might help.

  6. anonymous
    • one year ago
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    so -4-(-1) 1-5

  7. anonymous
    • one year ago
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    is that right ^^^^^

  8. anonymous
    • one year ago
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    you there?

  9. Jhannybean
    • one year ago
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    No that's not correct.

  10. anonymous
    • one year ago
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    what did i do wrong?

  11. Jhannybean
    • one year ago
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    We need to find our function first.

  12. Jhannybean
    • one year ago
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    So if your graph is shifted 1 unit to the left and 5 units down, then you would write it as \(f(x) = (x\color{red}{+}1)^2\color{red}{-5}\)

  13. Jhannybean
    • one year ago
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    Do you see what I mean?

  14. anonymous
    • one year ago
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    kind of

  15. anonymous
    • one year ago
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    @hartnn

  16. mathstudent55
    • one year ago
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    The average change form x = a to x = b is \(\dfrac{f(b) - f(a)}{b - a}\)

  17. mathstudent55
    • one year ago
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    You want the average change from x = -4 to x = 1. It is important to keep the order in m ind. You don't want the average change from x = 1 to x = -4.

  18. anonymous
    • one year ago
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    1 right

  19. mathstudent55
    • one year ago
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    Find f(-4) and f(1). You can do this by looking in the graph. What is the y-coordinate where x = -4? What is the y-coordinate where x = 1?

  20. anonymous
    • one year ago
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    y= 1 then right

  21. mathstudent55
    • one year ago
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    In your case, a = -4, and b = 1, so From the graph: f(-4) = 4 f(1) = -1 \(\dfrac{f(1) - f(-4)}{1 - (-4)}\) \(=\dfrac{-1 - 4}{1 + 4}\)

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