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anonymous

  • one year ago

Pre-Cal

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  1. anonymous
    • one year ago
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    @mathmate

  2. welshfella
    • one year ago
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    the coefficient of x will be negative for a parabola that opens downwards the function -x^2 is this shape with the vertex at the origin (0,0) But we want to move this up to (0,36) by adding 36 so our equation would be -x^2 + 36

  3. anonymous
    • one year ago
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    Thanks! what about this part? 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.

  4. welshfella
    • one year ago
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    well we can choose one value that's on the y-axis say (0,20) for example. Then one value on left side of our rainbow say x = -5 and y will then be -(-5^2) + 36 = 11

  5. anonymous
    • one year ago
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    Ok!

  6. welshfella
    • one year ago
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    we can then work out the equation of the line and find the point where it intersects another point on the curve and another point before or after the intersections

  7. anonymous
    • one year ago
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    Don't we need to create a table w/ 2 intersection points too?

  8. welshfella
    • one year ago
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    slope of line is (20-11)/ 0-(-5) = 9/5

  9. welshfella
    • one year ago
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    yes we have one already and we can find the other by solving the 2 equations. the line cuts the axis at y=20 so its equation is y = (9/5) x + 20

  10. anonymous
    • one year ago
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    How would we do that? Just plug in points?

  11. welshfella
    • one year ago
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    so another point could be at x = -7 and y= (9/5)*-7 + 20

  12. welshfella
    • one year ago
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    to find the second point of intersection we need to solv (9/5)x + 20 = -x^2 + 36

  13. anonymous
    • one year ago
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    ok:)

  14. anonymous
    • one year ago
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    would we subtract 20 from both sides?

  15. welshfella
    • one year ago
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    its a quadratic so add x^2 to both sides and subtract 36 from both sides

  16. welshfella
    • one year ago
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    x^2 + (9/5)x - 16 = 0

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

  18. welshfella
    • one year ago
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    use the quadratic formula

  19. anonymous
    • one year ago
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    Ok! But wouldn't the solution be complex making it no real solution?

  20. welshfella
    • one year ago
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    no one solution will be negative though which you can ignore

  21. welshfella
    • one year ago
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    the solution will be close to 3 so that will give you your 4 points

  22. anonymous
    • one year ago
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    alrighty thank you!

  23. welshfella
    • one year ago
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    yw

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