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mskyeg

  • 2 years ago

What is the equation, in standard form, of a parabola that models the values in the table?

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  1. mskyeg
    • 2 years ago
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  2. mskyeg
    • 2 years ago
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    Possible answers: y = 6x^2 + 5x – 4 y = –4x^2 – 5x + 6 y = 5x^2 + 4x – 6 y = 4x^2 + 5x – 6

  3. Godsgirl
    • 2 years ago
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    Its the last one.

  4. Godsgirl
    • 2 years ago
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    All you have to do is substituted x for the numbers. When you do that to all the equations you will found out the last one works for all of them and tht is how you get f(x)

  5. CliffSedge
    • 2 years ago
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    @Godsgirl , what if there weren't multiple choice answers to test, how would you do it?

  6. Godsgirl
    • 2 years ago
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    Well they would give you the equation and tell you to figure out f(x) so what you would do is substituted the x with the numbers they give you and that is how you find f(x) and the you would add them to the chart.

  7. CliffSedge
    • 2 years ago
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    What I mean, @Godsgirl , is what if they did not give the equation. What if the only thing you had was the chart. Could you get the function from that?

  8. Godsgirl
    • 2 years ago
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    You have to have the equation to solve for the function. If you don't have that you would not be able to solve for the chart.

  9. CliffSedge
    • 2 years ago
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    That is false, @Godsgirl Your method is fine in this situation where you have choices of functions to test, but if all you had was the chart, then you can get the function from it. I can show you how if you are interested.

  10. Godsgirl
    • 2 years ago
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    sure

  11. CliffSedge
    • 2 years ago
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    The points are (-2,0), (0,-6), and (4,78). If these all fit into f(x)=ax^2+bx+c, then we have three equations: 0=a(-2)^2+b(-2)+c -6=a(0)^2+b(0)+c 78=a(4)^2+b(4)+c From the second equation, we see that the y-intercept is c=-6, this makes the other two equations become 4a-2b=6 16a+4b=84 This can be solved as a system of two linear equations to find a and b, and then you'll have your equation.

  12. CliffSedge
    • 2 years ago
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    Also note that you can fit other models to these points, such as y=ax^3+bx^2+cx+d or even x=ay^+by+c, etc.

  13. Godsgirl
    • 2 years ago
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    Oh okay I totally forgot about tht. Its been a while since I've been in high school. I see it now.

  14. CliffSedge
    • 2 years ago
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    Yep. That's why I don't like multiple-choice questions, it makes it to easy to guess-and-check, and doesn't teach the broader lesson.

  15. Godsgirl
    • 2 years ago
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    Haha I agree with you. I graduated early. I was 16 when I did and I got a full ride to my college.

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