A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

help

  • This Question is Closed
  1. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    how to graph x^2=6y

  2. NotTim
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Rearrange so that "y" is 'alone'

  3. NotTim
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    do you understand?

  4. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    no

  5. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so it would be x^2+6y

  6. NotTim
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    No.

  7. NotTim
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    make it so it is like: y=....

  8. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ohh

  9. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    y=x^2+6

  10. NotTim
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Almost, but not quite.

  11. NotTim
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    you have to divide both sides by 6 so that 6y is just y.

  12. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    then what is it

  13. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @Michele_Laino

  14. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    how to graph x^2=6y

  15. NotTim
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    you have to re-arrange it frist.

  16. NotTim
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    divide both sides by 6.

  17. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    it is simple: the graph of y=x^2 is a parabole which passes at the origin of the coordinate system: |dw:1433527737795:dw|

  18. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    it is asking x^2=6y

  19. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    the function: x^2=6y can be rewritten as below: \[\Large y = \frac{1}{6}{x^2}\]

  20. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    where I have used the suggestion of @NotTim

  21. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    how do u rewrite

  22. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    I have divide both sides by 6, as @NotTim well said

  23. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok

  24. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Now the graph of your function: \[\Large y = \frac{1}{6}{x^2}\] is similar to the graph of the function y= x^2. We have the subsequent drawing: |dw:1433528004632:dw|

  25. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i need accurate one

  26. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    like u have to find focus, dirretrix

  27. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    it is another parabola, which passes at the origin of the coordinate system

  28. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    like u have to find focus, dirretrix

  29. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    here are the formulas to find focus and directrix:

  30. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok

  31. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    where are they

  32. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    we have to start from this equation: \[y = a{x^2} + bx + c\]

  33. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    by comparison with our equation, we get: a= 1/6, b=0, and c=0, right?

  34. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes

  35. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    now the general formula for focus and directrix are: \[\Large \begin{gathered} Focus = \left( { - \frac{b}{{2a}},\frac{{1 - {b^2} + 4ac}}{{4a}}} \right) \hfill \\ \hfill \\ y = - \frac{{1 + {b^2} - 4ac}}{{4a}},\quad directrix \hfill \\ \end{gathered} \]

  36. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    please substitute the parameters: a=1/6, b=c=0

  37. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    what do you get?

  38. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1433528576564:dw|

  39. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    please, c=0

  40. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so we can eliminate that

  41. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    \[\Large y = - \frac{{1 + {b^2} - 4ac}}{{4a}} = - \frac{{1 + 0 - 4 \times \left( {1/6} \right) \times 0}}{{4/6}}\]

  42. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    that is foucs

  43. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    \[\large y = - \frac{{1 + {b^2} - 4ac}}{{4a}} = - \frac{{1 + 0 - 4 \times \left( {1/6} \right) \times 0}}{{4/6}}\]

  44. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    that is the directrix

  45. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ohh

  46. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    how would u find that

  47. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    the focus is: \[\Large Focus = \left( { - \frac{0}{{2/6}},\frac{{1 - 0 + 4/6 \times 0}}{{4/6}}} \right)\]

  48. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    those are general formulas, which can be derived

  49. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    so after a simplification, we get: \[\Large \begin{gathered} Focus = \left( {0,\;\frac{3}{2}} \right) \hfill \\ \hfill \\ directrix:\quad y = - \frac{3}{2} \hfill \\ \end{gathered} \]

  50. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    please check my result above

  51. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok

  52. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.