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anonymous

  • one year ago

Create an equation.

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  1. anonymous
    • one year ago
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    @Michele_Laino

  2. anonymous
    • one year ago
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    @Hero

  3. anonymous
    • one year ago
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    @welshfella

  4. anonymous
    • one year ago
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    I think I got the equation but not the second part. y=-x^2+36

  5. anonymous
    • one year ago
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    Would i be right?

  6. welshfella
    • one year ago
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    the vertex form is- a(x -b)^2 + c so here we have y = -a(x - 0)^2 + 36

  7. welshfella
    • one year ago
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    when y = 0 x = 6 0 = -a(6)^2 + 36 so a = 1 equation is y = -x^2+ 36

  8. 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.

  9. welshfella
    • one year ago
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    its negative before the x^2 because the parabola opens downwards

  10. anonymous
    • one year ago
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    this is the second part which i don't understand that goes with this equation :(

  11. welshfella
    • one year ago
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    well it a matter of picking a sloped line and choosing which points you want it to intersect the parabola

  12. anonymous
    • one year ago
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    Ok so which points should I choose? Actually, I'll let you decide.

  13. welshfella
    • one year ago
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    pick the point where x is -5 and x = 4 you can work out the value of y by plugging these values into the equation.

  14. welshfella
    • one year ago
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    x = -5 y = -(-5)^2 + 36 x = 4 y = -(4)^2 + 36

  15. anonymous
    • one year ago
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    so y=41 and y=32 ??

  16. welshfella
    • one year ago
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    so thats 2 values for your linear function

  17. anonymous
    • one year ago
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    now what do I do?

  18. anonymous
    • one year ago
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    What would the table look like?

  19. welshfella
    • one year ago
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    hmm - i wonder if this is easiest way to do this - anyway we've started it this way so we may as well continue

  20. welshfella
    • one year ago
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    i've done things wrong way round...

  21. anonymous
    • one year ago
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    Is that a 6?

  22. welshfella
    • one year ago
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    scrap all that and build the table first - that's what they asked for anyway

  23. anonymous
    • one year ago
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    What do you mean?

  24. anonymous
    • one year ago
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    No matter, we can always start over:)

  25. welshfella
    • one year ago
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    let the equation of the line be y = x + 10 pick 2 values for x either side of -6 and +6 lets work these 2 points out x = -7 y = -7 + 10 = 3 x = 8 y = 8 + 10 = 18

  26. welshfella
    • one year ago
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    so thats 2 values on our table

  27. welshfella
    • one year ago
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    no we need to find the 2 points of intersect on the rainbow we can do this by solving the system of equations y = x + 10 y = -x^2 + 36

  28. welshfella
    • one year ago
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    -x^2 + 36 = x + 10 x^2 + x - 26 = 0

  29. anonymous
    • one year ago
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    What what would the table look like?

  30. welshfella
    • one year ago
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    - yes - thats what we are calculating now

  31. welshfella
    • one year ago
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    you can solve this by using quadratic formula

  32. anonymous
    • one year ago
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    Oh sorry!

  33. welshfella
    • one year ago
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    there will be 2 values for x you can find the correspondimg values of y by subbing in y = x + 10

  34. anonymous
    • one year ago
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    Ok! I see :)

  35. welshfella
    • one year ago
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    |dw:1438212449020:dw|

  36. anonymous
    • one year ago
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    Alright:)

  37. anonymous
    • one year ago
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    so then we would need 2 more points correct?

  38. anonymous
    • one year ago
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    just to check, these are 2 points of intersection?

  39. welshfella
    • one year ago
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    yes solve the quadratic for x theh y = x +10 for the 2 values

  40. welshfella
    • one year ago
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    * 2 y values

  41. welshfella
    • one year ago
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    yes

  42. anonymous
    • one year ago
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    ok! But where did the y=x+10 come from?

  43. welshfella
    • one year ago
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    the first x value will be between -6 and -5 and second will be between 4 and 5

  44. welshfella
    • one year ago
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    x = (-1 +/- sqrt(1^1 - 4*1*-26)) / 2

  45. anonymous
    • one year ago
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    ok, so it could be like -4 for the first and idk for the second

  46. anonymous
    • one year ago
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    alright :)

  47. welshfella
    • one year ago
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    that comes to x = 4.62 and - 5.62

  48. welshfella
    • one year ago
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    gtg right now

  49. anonymous
    • one year ago
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    u still there?

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