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anonymous

  • one year ago

Please help fast I've been trying to complete this for an hour and I need to get it done before 6am The function f(t) = t2 + 4t − 14 represents a parabola. Part A: Rewrite the function in vertex form by completing the square. Show your work. (6 points) Part B: Determine the vertex and indicate whether it is a maximum or a minimum on the graph. How do you know? (2 points) Part C: Determine the axis of symmetry for f(t). (2 points)

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  1. triciaal
    • one year ago
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    vertex form a(x-h)^2 + k h = -b/2a from standard form ax^2 + bx + c k = f(h) vertex (h, k)

  2. anonymous
    • one year ago
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    is that A?

  3. triciaal
    • one year ago
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    axis of symmetry is the line x = h

  4. anonymous
    • one year ago
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    Would this be a maximum because I don't see any negatives?

  5. triciaal
    • one year ago
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    |dw:1437713419800:dw|

  6. triciaal
    • one year ago
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    stat with your given equation what is a, b c ?

  7. anonymous
    • one year ago
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    oh so the vertex is a minimum then

  8. triciaal
    • one year ago
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    start

  9. triciaal
    • one year ago
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    next what is -b/(2a)

  10. triciaal
    • one year ago
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    is everything clear now?

  11. anonymous
    • one year ago
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    i dont understand what you mean by what is -b/(2a) but ive been attempting to teach myself how to do these problems for an hour and at this point i dont think im capable of learning it without a physical teacher but so far for this question my answers are, "PART A: vertex form a(x-h)^2 + k h = -b/2a from standard form ax^2 + bx + c k = f(h) vertex (h, k) PART B: it is a minimum on the graph because it is the lowest point of the parabola at (-2,-18) PART C: axis of symmetry is the line x = h "

  12. triciaal
    • one year ago
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    you need to put the number that was a whole lot for not responding to me helping you

  13. anonymous
    • one year ago
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    Put the number in where and im sorry if i wasn't responding this stuff really confuses me

  14. triciaal
    • one year ago
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    |dw:1437714409139:dw|

  15. triciaal
    • one year ago
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    |dw:1437714492874:dw|

  16. triciaal
    • one year ago
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    |dw:1437714526200:dw|

  17. anonymous
    • one year ago
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    put in 4 and 1?

  18. anonymous
    • one year ago
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    For A and B

  19. triciaal
    • one year ago
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    whenever you don't understand something it is ok to ask for more clarification

  20. triciaal
    • one year ago
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    correct

  21. triciaal
    • one year ago
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    now do you see why h = -2?

  22. anonymous
    • one year ago
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    ok so i have -4 on the top and 2 on the bottom silpfy and i get h=-2 is that right?

  23. anonymous
    • one year ago
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    simplify*

  24. triciaal
    • one year ago
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    to complete the square you are adding what is necessary to your original equation to make it a perfect square and keep the balance of the equation

  25. anonymous
    • one year ago
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    is h=-2 the vertex?

  26. triciaal
    • one year ago
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    |dw:1437714802686:dw|

  27. anonymous
    • one year ago
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    and how do you know whats necessary to add to the original equation and how do i know when its a perfect square

  28. triciaal
    • one year ago
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    h is the x-coordinate of the vertex the vertex is a point (h, k)

  29. anonymous
    • one year ago
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    the topmost part in your drawing is the original equation right?

  30. triciaal
    • one year ago
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    the vertex is the maximum or minimum point of the parabola

  31. anonymous
    • one year ago
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    i know what the vertex is but like its confusing that vertex point is letters

  32. triciaal
    • one year ago
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    |dw:1437715112937:dw|

  33. triciaal
    • one year ago
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    vertex is a point (h, k) just like (x, y)

  34. anonymous
    • one year ago
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    are we going to find the numbers that are the point though and if so how do we find them

  35. triciaal
    • one year ago
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    you need to stop making things complicated

  36. triciaal
    • one year ago
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    stop and actually read my responses

  37. anonymous
    • one year ago
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    im sorry learning math is very hard for me i am reading your responses its just hard for me to process all this information

  38. triciaal
    • one year ago
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    now, do you understand what a perfect square is?

  39. anonymous
    • one year ago
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    i dont understand it too much

  40. triciaal
    • one year ago
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    it is very hard because you are not being open clear you mind so you can make room to understand the responses

  41. triciaal
    • one year ago
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    |dw:1437715452917:dw|

  42. triciaal
    • one year ago
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    an entity multiplied by itself will give a perfect square

  43. anonymous
    • one year ago
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    no its like im sorry but its the way i think im trying and im listening i promise

  44. triciaal
    • one year ago
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    |dw:1437715523167:dw|

  45. anonymous
    • one year ago
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    |dw:1437715469206:dw|

  46. triciaal
    • one year ago
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    |dw:1437715610791:dw|

  47. anonymous
    • one year ago
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    why is the second t bottom row squared is it still perfect?

  48. anonymous
    • one year ago
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    oh wait i see what you did you did FOIL

  49. triciaal
    • one year ago
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    |dw:1437715712439:dw|

  50. triciaal
    • one year ago
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    |dw:1437715836314:dw|

  51. anonymous
    • one year ago
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    so image before you used FOIL then simplify then in the next one you did the zeros thing?

  52. anonymous
    • one year ago
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    also where did -4 come from

  53. triciaal
    • one year ago
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    to make a perfect square you had to add 4 so to keep the balance of the equation you -4

  54. triciaal
    • one year ago
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    look at the drawing in blue given

  55. anonymous
    • one year ago
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    what does given mean?

  56. triciaal
    • one year ago
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    |dw:1437716009964:dw|

  57. triciaal
    • one year ago
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    what you were given in the question to start with

  58. anonymous
    • one year ago
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    yeah i remember that image is it working bottom to top?

  59. triciaal
    • one year ago
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    the question gave you the part originally marked in blue. to make a perfect square you added 4 to keep the balance of the equation you -4. +4 added to -4 = 0 so you are not changing the original just expressing it differently

  60. triciaal
    • one year ago
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    |dw:1437716216823:dw|

  61. anonymous
    • one year ago
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    oh i think i get it im still confused to how all of this applies to my original question though :( could you explain? is it a part of part A B or C?

  62. triciaal
    • one year ago
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    read the question slowly then look at the response

  63. anonymous
    • one year ago
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    My three questions the a b and c?

  64. triciaal
    • one year ago
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    Part A: Rewrite the function in vertex form by completing the square. Show your work. (6 points)

  65. anonymous
    • one year ago
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    So i think we are on- yeah question a because we are completing the square

  66. triciaal
    • one year ago
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    Part B: Determine the vertex and indicate whether it is a maximum or a minimum on the graph. How do you know? (2 points) vertex (h, k) look at the vertex form of the equation you just wrote in A after completing the square

  67. triciaal
    • one year ago
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    when a is positive the parabola opens up the vertex is at the minimum as you see in the sketch

  68. anonymous
    • one year ago
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    part b it is a minimum

  69. anonymous
    • one year ago
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    i know from that picture you showed me

  70. anonymous
    • one year ago
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    so what you just said is the answer to B

  71. anonymous
    • one year ago
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    and is (-2,-18) the vertex in 1

  72. triciaal
    • one year ago
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    but you see why I had that point h = -2 and k = -18 Part C: Determine the axis of symmetry for f(t). (2 points) the axis of symmetry is the line that will "cut the parabola in half where the vertex is"

  73. anonymous
    • one year ago
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    i mean A not 1

  74. anonymous
    • one year ago
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    (-2,-18) is a point on the axis of symmetry?

  75. anonymous
    • one year ago
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    since it is the vertex?

  76. anonymous
    • one year ago
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    we need to cut it in half down y axis?

  77. triciaal
    • one year ago
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    |dw:1437717207003:dw|

  78. anonymous
    • one year ago
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    yeah i get that how do we convert that into text though?

  79. triciaal
    • one year ago
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    i dont understand what you mean by what is -b/(2a) but ive been attempting to teach myself how to do these problems for an hour and at this point i dont think im capable of learning it without a physical teacher but so far for this question my answers are, "PART A: vertex form a(x-h)^2 + k h = -b/2a from standard form ax^2 + bx + c k = f(h) vertex (h, k) PART B: it is a minimum on the graph because it is the lowest point of the parabola at (-2,-18) PART C: axis of symmetry is the line x = h " what is h?

  80. triciaal
    • one year ago
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    PART C: axis of symmetry is the line x = h " what is h?

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