algebra

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You throw a rock off the balcony overlooking your backyard the table shows the height of the rock at different times use quadratic regressin to find a quadratic model for this data.
time
0 1 2 3 4 5
height
24 44.2 54.8 55.8 47.2 29

would someone explain this to me had a problem like this before and got it wrong

  • algebra -

    Judging from your other problems, I think quadratic regression is a bit beyond the current subject matter. (If not so, let me know just what you have studied in regards to quadratic regression.) So let's try a simpler approach.

    evidently the equation is

    y = ax^2 + bx + 24

    plugging in the given values,

    20.2 = a + b
    30.8 = 4a + 2b
    31.5 = 9a + 3b
    23.2 = 16a + 4b
    5 = 25a + 5b

    Solving these equations in pairs, we get

    (a,b) = (-4.8,25),(-4.9,25.2),(-4.7,24.6),(-4.8,25) and so forth.

    If you're not looking for the best fit, you could use a model like

    y = -4.8x^2 + 25x + 24

    If this approach is not what you wanted, please clarify.

  • algebra -

    The y=4.8x^2+25x+24 was correct answer, but I'm not sure how you got that.

  • algebra -

    the actual answer to this is
    y=-4.8^2+25x+24 you did not put a negative on it :)

  • algebra -

    1-7 answers for Factoring quadratic quiz
    1. C
    2. C
    3. B
    4. A
    5. D
    6. B
    7. B
    You're welcome now do good in school kids!

  • algebra -

    Suppose a parabola has vertex (-4,7). and also passes through the point (-3,8) write the equation in a a parabola vertex form

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