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anonymous

  • 5 years ago

A parabola is defined by the following the following equation: x^(2)-10x-y+23=0 What are the coordinates of its vertex?

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  1. amistre64
    • 5 years ago
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    gonna have to complete the square;

  2. amistre64
    • 5 years ago
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    x^2 -10x = y -23 x^2 -10x +25 = y-23 +25

  3. amistre64
    • 5 years ago
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    (x-5)^2 = (y+2)

  4. amistre64
    • 5 years ago
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    the vertex is at (5,-2) i believe

  5. amistre64
    • 5 years ago
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    teh equation tells us the vertex = (5,-2) the distance from vertex to focus or directix = 1/4 the focus is at (5,-1' 3/4) the parabola opens upwards

  6. anonymous
    • 5 years ago
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    everyone keeps telling me to complete the squares, but i don't even know how to do that. i am horrible at math.

  7. amistre64
    • 5 years ago
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    complete the square is a process used to make a square complete....add the missing parts really.

  8. amistre64
    • 5 years ago
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    A complete square can move freely back and forth between to forms; (x+3)^2 = x^2 +6x +9 ^^^^^^^^ this is a complete square

  9. amistre64
    • 5 years ago
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    if all we had was: x^2 +6x. then the square is missing a part to it and it is stuck in this form...

  10. amistre64
    • 5 years ago
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    How the incomplete square is made tells us alot about the missing parts

  11. amistre64
    • 5 years ago
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    in short, we need to take the number that is next to the 'x'.. that 6 there in this case; and split it in half

  12. amistre64
    • 5 years ago
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    6/2 = 3 the missing part that we need is then 3^2 x^2 +6x +3^2 = (x+3)^2

  13. myininaya
    • 5 years ago
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    THAN square so fun!

  14. myininaya
    • 5 years ago
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    well he already did it above so i was late

  15. amistre64
    • 5 years ago
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    lol..your just in time ;)

  16. myininaya
    • 5 years ago
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    :)

  17. amistre64
    • 5 years ago
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    chizz; it takes time and practice to know it good enough to be able to see it

  18. myininaya
    • 5 years ago
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    never talked about directex and focus in any of my math classes? what use are these?

  19. amistre64
    • 5 years ago
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    the focus and directix are geometry terms used to define a parabola; and any conic section really. It relies upon the geometric interpretation instead of the algebraic

  20. myininaya
    • 5 years ago
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    oh i see

  21. amistre64
    • 5 years ago
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    a parabola is: all poionts that are equi distant from a straight line from the focus and a perpendicular line to the directix.

  22. anonymous
    • 5 years ago
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    lol amistre, nice shirt? :D

  23. amistre64
    • 5 years ago
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    thnx :) i made it me self.

  24. anonymous
    • 5 years ago
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    seriously? ._. nice, lol np

  25. amistre64
    • 5 years ago
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    before i learned about openstudy, i taught myself many things; origami, knitting, crocheting, sister annoying...you know, the basics of life ;)

  26. anonymous
    • 5 years ago
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    sister annoying? that must've been an interesting experience lol. Your wife must be so grateful to have you >_<

  27. amistre64
    • 5 years ago
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    ironically no :/ but i did get to drive her to the hospital yesterday and see the kids for a bit :)

  28. anonymous
    • 5 years ago
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    nah, I bet she is :) but doesn't show it :P? that's nice ^_^

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