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anonymous

  • 4 years ago

Use shifts of power functions to find a possible formula for each of the graphs below. Assume the graphs are not being stretched. Attached are two pictures of A) graph and B) Graph

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  1. anonymous
    • 4 years ago
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  2. anonymous
    • 4 years ago
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  3. ash2326
    • 4 years ago
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    A) standard equation of a parabola with vertex h and k y=a(x-h)^2+k here the vertex is -3,-2 so h=-3 and k=-2 hence \[y=a(x+3)^2-2\] here no information for a is given since the parabola is opening downeards, a is negative \[y=a(x+3)^2-2\]

  4. ash2326
    • 4 years ago
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    here a is negative

  5. anonymous
    • 4 years ago
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    okay let me look it over

  6. anonymous
    • 4 years ago
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    do i put a in the y= equation?

  7. ash2326
    • 4 years ago
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    yeah it's important

  8. anonymous
    • 4 years ago
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    okay cool! thanks. How does B look

  9. ash2326
    • 4 years ago
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    5 minutes, I'll take a look into it

  10. anonymous
    • 4 years ago
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    okay thanks

  11. ash2326
    • 4 years ago
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    sorry took long, dude I don't recognise this curve. Let me ask others for help

  12. anonymous
    • 4 years ago
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    thanks!

  13. ash2326
    • 4 years ago
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  14. anonymous
    • 4 years ago
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    where did u go?

  15. ash2326
    • 4 years ago
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    Hi, sorry kept you waiting I think this is tan x shifted y= 7+tan(x-14) as at x= 14 y=7

  16. anonymous
    • 4 years ago
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    but I dnt think i would write it with tan in it

  17. ash2326
    • 4 years ago
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    I've an idea let me work on it

  18. anonymous
    • 4 years ago
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    thanks so much

  19. anonymous
    • 4 years ago
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    just like the other on u showed me y=x^2, i think this type of graph is y=x^3

  20. ash2326
    • 4 years ago
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    This is also a form of x^2 , it's vertex is (14,7) so y= (x-14)^2+7 for x>=14 and -(x-14)^2+7 for x<14

  21. anonymous
    • 4 years ago
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    is that part the answer?

  22. ash2326
    • 4 years ago
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    yeah for x>=14 we have a different function and for x<14 we have different

  23. anonymous
    • 4 years ago
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    so it has that negative sign in front

  24. ash2326
    • 4 years ago
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    yeah

  25. anonymous
    • 4 years ago
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    ok thanks

  26. ash2326
    • 4 years ago
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    welcome , do check them with your teacher and tell me if i got it right

  27. anonymous
    • 4 years ago
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    butthe graph is positive

  28. ash2326
    • 4 years ago
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    - sign is bringing the graph downward, it's initially positive, then it becomes negative . The negative part is not shown in the graph

  29. anonymous
    • 4 years ago
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    okay thanks

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