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anonymous

  • one year ago

Does anyone want to help me with math for a fan and medal?

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  1. anonymous
    • one year ago
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    @jim_thompson5910

  2. anonymous
    • one year ago
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    1. For f(x) = x2 and g(x) = (x − 3)2, in which direction and by how many units should f(x) be shifted to obtain g(x)?

  3. anonymous
    • one year ago
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    2. David kicks a soccer ball off the ground and in the air, with an initial velocity of 35 feet per second. Using the formula H(t) = −16t2 + vt + s, what is the maximum height the soccer ball reaches?

  4. jim_thompson5910
    • one year ago
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    post one at a time please

  5. anonymous
    • one year ago
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    sorry

  6. jim_thompson5910
    • one year ago
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    hint for #1 when going from f(x) to f(x-h), the graph is shifted |h| units to the right if h is positive when going from f(x) to f(x-h), the graph is shifted |h| units to the left if h is negative

  7. anonymous
    • one year ago
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    its positive so...

  8. jim_thompson5910
    • one year ago
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    yes, the x-h matches up with x-3 h = 3

  9. anonymous
    • one year ago
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    ohh ok i got it

  10. anonymous
    • one year ago
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    it wouldn't be -3 tho?

  11. anonymous
    • one year ago
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    @jim_thompson5910

  12. jim_thompson5910
    • one year ago
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    no, think of it as like the opposite h-3 ----> shift 3 units to the RIGHT

  13. jim_thompson5910
    • one year ago
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    |dw:1443491690709:dw|

  14. anonymous
    • one year ago
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    ohhhh ok!

  15. jim_thompson5910
    • one year ago
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    |dw:1443491701434:dw|

  16. anonymous
    • one year ago
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    here are the choices... the answer would be B then right?

  17. anonymous
    • one year ago
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    Left 3 units Right 3 units Up 3 units Down 3 units

  18. jim_thompson5910
    • one year ago
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    what's really going on is the entire xy axis is being shifted 3 units to the left, the f(x) stays still giving the illusion it's moving 3 units to the right

  19. anonymous
    • one year ago
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    oh so would the answer be B or A? @jim_thompson5910

  20. jim_thompson5910
    • one year ago
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    like I said and drew, f shifts 3 units to the right

  21. anonymous
    • one year ago
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    Oh thank you!

  22. anonymous
    • one year ago
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    For the second, here are the choices

  23. anonymous
    • one year ago
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    17.9 feet 18.2 feet 18.7 feet 19.1 feet

  24. jim_thompson5910
    • one year ago
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    `2. David kicks a soccer ball off the ground and in the air, with an initial velocity of 35 feet per second. Using the formula H(t) = −16t2 + vt + s, what is the maximum height the soccer ball reaches?` what are `v` and `s` in this case?

  25. anonymous
    • one year ago
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    s is 0?

  26. anonymous
    • one year ago
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    v is 35

  27. anonymous
    • one year ago
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    @jim_thompson5910

  28. jim_thompson5910
    • one year ago
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    yes on both

  29. jim_thompson5910
    • one year ago
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    so `H(t) = -16t^2 + vt + s` turns into `H(t) = -16t^2 + 35t + 0` which is really `H(t) = -16t^2 + 35t`

  30. anonymous
    • one year ago
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    how do i solve without t though?

  31. jim_thompson5910
    • one year ago
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    I'm going to replace every t in ` -16t^2 + 35t + 0` with x so we have ` -16x^2 + 35x + 0`

  32. jim_thompson5910
    • one year ago
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    do you see how ` -16x^2 + 35x + 0` matches up with `ax^2 + bx + c` ?

  33. anonymous
    • one year ago
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    yes

  34. anonymous
    • one year ago
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    so what do i plug in for x?

  35. jim_thompson5910
    • one year ago
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    what are a,b,c equal to?

  36. anonymous
    • one year ago
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    idk if i dont have the x values

  37. anonymous
    • one year ago
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    do you want me to just do -16+35 cuz thats all we have

  38. jim_thompson5910
    • one year ago
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    |dw:1443492881972:dw|

  39. jim_thompson5910
    • one year ago
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    |dw:1443492905574:dw|

  40. jim_thompson5910
    • one year ago
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    |dw:1443492921753:dw|

  41. jim_thompson5910
    • one year ago
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    what are a,b,c equal to?

  42. anonymous
    • one year ago
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    oh ok

  43. anonymous
    • one year ago
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    -15

  44. anonymous
    • one year ago
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    -15x2?

  45. anonymous
    • one year ago
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    and 36x

  46. anonymous
    • one year ago
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    and c?

  47. anonymous
    • one year ago
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    so would it be -15x^2+36x+c?

  48. jim_thompson5910
    • one year ago
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    a,b,c don't have any xs in them

  49. jim_thompson5910
    • one year ago
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    a = -16 b = 35 c = 0 do you see how I'm getting this?

  50. jim_thompson5910
    • one year ago
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    |dw:1443493159115:dw|

  51. anonymous
    • one year ago
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    oh ok i was adding them

  52. anonymous
    • one year ago
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    So would we plug in the max and min which would be 35 and 32 to the x's?

  53. anonymous
    • one year ago
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    H(t) = -16(35/32)² + 35(35/32) = -19.141 which would be closest to D. Ok did i do it correctly?

  54. jim_thompson5910
    • one year ago
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    are you familiar with the formula h = -b/(2a) ??

  55. anonymous
    • one year ago
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    yep

  56. jim_thompson5910
    • one year ago
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    so you'll plug a = -16 and b = 35 into that formula to find h

  57. jim_thompson5910
    • one year ago
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    tell me what h is

  58. jim_thompson5910
    • one year ago
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    oh nvm, you already found h when you said 35/32

  59. jim_thompson5910
    • one year ago
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    `H(t) = -16(35/32)² + 35(35/32) = -19.141` looks good

  60. jim_thompson5910
    • one year ago
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    except that I get -16(35/32)² + 35(35/32) = 19.140625

  61. jim_thompson5910
    • one year ago
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    notice how the result is positive