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anonymous

  • 5 years ago

what are the x-intercepts and minimum point(s) for the equation 3x^2-13x-10

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  1. amistre64
    • 5 years ago
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    minimum is when x = 13/6

  2. anonymous
    • 5 years ago
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    Set the equation equal to zero to find the x intercepts. (When y=0 the graph is on the x axis). Using the quadratic equation you end up getting 5 and -2/3. (You can verify this yourself). To find the minimum you can use calculus or algebra, but seeing as amistre64 answered this, he can explain it.

  3. amistre64
    • 5 years ago
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    we can all explain it ;)

  4. anonymous
    • 5 years ago
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    I can't do it with algebra :). Calculus drains all basic algebra from the brain. Haha.

  5. amistre64
    • 5 years ago
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    dont it tho lol

  6. amistre64
    • 5 years ago
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    the max/min of teh graph of a quadratic equation is where the graph curves back on itself and backs a peak or valley; that point is valled the vertex of the parabola

  7. amistre64
    • 5 years ago
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    teh definition of a parabola also helps to define the vertex as the point in line between the focus and the directix such that the line from the focus to the directix is perpendicular it passes thru the vertex

  8. amistre64
    • 5 years ago
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    the distance between all points of a parabola are equal distance to the focus and a perpendicular line to the directex; the shortest distance shich results is called the vertex

  9. amistre64
    • 5 years ago
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    and yada yada yada ...lol

  10. radar
    • 5 years ago
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    I don't know what method was used to get the 13/6 but one method is to\[d/dx=6x-13\]

  11. amistre64
    • 5 years ago
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    -b/2a ;)

  12. radar
    • 5 years ago
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    6x-13=0 x=13/6

  13. amistre64
    • 5 years ago
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    the determinate of the quadratic formula is the x axis of symmetry if the parabola is oriented such that it is a function of x

  14. amistre64
    • 5 years ago
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    (-b/2a, f(-b/2a)) are the coordinates of teh vertex....

  15. amistre64
    • 5 years ago
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    there is also a method called the square root method that might be applicable

  16. anonymous
    • 5 years ago
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    Refer to the plot attachment.

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  17. anonymous
    • 5 years ago
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    x=-.66666667 & x=5 the min (vertex) s x=2.1, y=-24.07

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