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anonymous

  • one year ago

Create an equation. Use the graph below to create the equation of the rainbow parabola.

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  1. anonymous
    • one year ago
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    it's an upside down parabola

  2. anonymous
    • one year ago
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    @Loser66 @Luigi0210

  3. Loser66
    • one year ago
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    what is the vertex-form of a parabola?

  4. anonymous
    • one year ago
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    um... (h,k) is the vertex

  5. anonymous
    • one year ago
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    y=a(x-h)^2-k @Loser66 ??

  6. Loser66
    • one year ago
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    yes, but +k, not -k and your vertex is ???

  7. anonymous
    • one year ago
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    (0,36)

  8. Loser66
    • one year ago
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    ok, so, it is ?? y = ??

  9. Loser66
    • one year ago
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    replace h, k in

  10. anonymous
    • one year ago
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    um...y=x^2+36?

  11. Loser66
    • one year ago
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    where is your a??

  12. Loser66
    • one year ago
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    y =a x^2 +36 , ok??

  13. anonymous
    • one year ago
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    kk!

  14. Loser66
    • one year ago
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    Now, pick a point on the graph. (either of them, not vertex)

  15. anonymous
    • one year ago
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    um -6?

  16. Loser66
    • one year ago
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    a point means (.., ...) not just -6

  17. anonymous
    • one year ago
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    (0,6)

  18. Loser66
    • one year ago
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    you don't have that point!! , you have (-6,0) or (6,0)

  19. Loser66
    • one year ago
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    which one do you choose??

  20. anonymous
    • one year ago
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    whoops! um...(6,0) :)

  21. Loser66
    • one year ago
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    ok, that is x =6 , y =0 right? plug that point into y = ax^2 +36, what do you have?

  22. triciaal
    • one year ago
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    an upside down parabola / like a rainbow means the value of a is negative

  23. anonymous
    • one year ago
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    y=-x^2+36

  24. Loser66
    • one year ago
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    @triciaal please, be patient, it will be there!!

  25. Loser66
    • one year ago
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    |dw:1437949718632:dw|

  26. Loser66
    • one year ago
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    that is 0 = a*36 +36 , right?

  27. Loser66
    • one year ago
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    -36 both sides, what do you get?

  28. anonymous
    • one year ago
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    -y=x2-36

  29. Loser66
    • one year ago
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    no!! redo 0 = a*36 +36 -36 -36 ---------------- ??

  30. anonymous
    • one year ago
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    -36=a(0)

  31. Loser66
    • one year ago
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    nope!! redo, please.

  32. anonymous
    • one year ago
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    -36=36a

  33. Loser66
    • one year ago
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    \(0= a*36 \cancel{+36}\\-36~~~~~~~\cancel{-36}\)

  34. Loser66
    • one year ago
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    YYYYYYYYYYYYes!!

  35. Loser66
    • one year ago
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    now, divided both sides by 36 , what do you get?

  36. Loser66
    • one year ago
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    \(-36 = a*36\\\div 36~~~~~~\div 36\)

  37. anonymous
    • one year ago
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    -1=a

  38. Loser66
    • one year ago
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    yes !!yes!! yes!!!

  39. anonymous
    • one year ago
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    :) Thanksss

  40. Loser66
    • one year ago
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    Now, replace a =-1 into the vertex form y = ax^2 +36, you have????

  41. anonymous
    • one year ago
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    ah! You would get...y=-1x^2+36

  42. Loser66
    • one year ago
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    Binnnnnnnnnnnnnnnnngo!! you got it!! can write as y = -x^2 +36

  43. anonymous
    • one year ago
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    yay!!!!!

  44. Loser66
    • one year ago
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    @triciaal don't worry about parabola up or down. Apply the standard form, if it is up, we will get a >0, if it is down, we will get a<0.

  45. anonymous
    • one year ago
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    Wait! Lol we have 1 more part that I don't understand. It's like Part 2 to the question

  46. anonymous
    • one year ago
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    Create a table of values for a linear function. A drone is in the distance, flying upward in a straight line. It intersects the rainbow at two points. Choose the points where your drone intersects the parabola and create a table of at least four values for the function. Remember to include the two points of intersection in your table.

  47. anonymous
    • one year ago
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    Any ideas??

  48. Loser66
    • one year ago
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    hahaha... that is supposed to be my question, not yours.

  49. Loser66
    • one year ago
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    since it is a linear function, that is a line, whatever you like, just "create" it. If I pick y = -x, then the line is |dw:1437950415171:dw|

  50. Loser66
    • one year ago
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    It will "cut" the parabola at 2 points. |dw:1437950461903:dw|

  51. Loser66
    • one year ago
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    If you pick y =x, it is perfectly ok, the line will be here and cut the parabola at 2 points like |dw:1437950524706:dw|

  52. Loser66
    • one year ago
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    and the simplest case is |dw:1437950561325:dw|

  53. Loser66
    • one year ago
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    still cut the parabola at 2 points. hehehe...

  54. anonymous
    • one year ago
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    but where would the 2 points intersect?

  55. Loser66
    • one year ago
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    but you must choose y =x, since the drone is upward, right?

  56. Loser66
    • one year ago
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    |dw:1437950672718:dw|

  57. Loser66
    • one year ago
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    Now, solve for the points you have y =x and y = -x^2 + 36 replace y =x x = -x^2 + 36 +x^2 both sides, what do you have?

  58. anonymous
    • one year ago
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    But how would we "create a table of at least four values for the function. Remember to include the two points of intersection in your table?"

  59. anonymous
    • one year ago
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    x^2+36

  60. Loser66
    • one year ago
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    nope, redo.

  61. anonymous
    • one year ago
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    x^2=x^2+36 ?

  62. Loser66
    • one year ago
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    \(~~~~~~x = -x^2 +36\\+x^2~~~~+x^2\)

  63. anonymous
    • one year ago
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    x+X^2=36

  64. Loser66
    • one year ago
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    yes, now -36 both sides

  65. Loser66
    • one year ago
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    \(x^2+x-36 =0\) right?

  66. Loser66
    • one year ago
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    solve this quadratic, what do you get for x??

  67. Loser66
    • one year ago
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    ok, I put it on my calculator and it gives me x = 5.52 and x = -6.52

  68. anonymous
    • one year ago
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    um...I agree :)

  69. Loser66
    • one year ago
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    Take them, now we have the line y =x, and those x values are the intersection of the line and the parabola The Table is just |dw:1437951089610:dw|

  70. anonymous
    • one year ago
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    Thanks! You're really smart!

  71. Loser66
    • one year ago
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    not that!! hehehe... just study the stuff before you.

  72. anonymous
    • one year ago
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    haha! either way, you're awesome :)))

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