A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

How do you understand Maximum and minimum. It says " if the parabola opens up/down..." what is the parabola and how does that determine max or min?

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

    Which math class are you taking at the momen?

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

    college algebra

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

    For a parabola, If opening in the Y direction up/down, will have a max/min value at the vertex.

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

    If it opens up for example, the min value will be the vertex, and the max will be infinity.

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

    |dw:1433015235551:dw|

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

    If it opens down the other way, the vertex would be the Maximum, and the minimum would be negative infinity. Do you have a specific example?

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

    okay the problem I just did was a vertex (6,-2) which is maximum,-2. I completely guessed on it but its right. what I don't understand how to determine if its max or min based on the information given. My complete function was f(x)=-x^2+12-38, vertex (6,-2), axis of symmetry is x= 6 and -2 is the max.

  8. Loser66
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Can you please post the original one by scanning or screenshot?

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

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

    I guess I don't understand how to determine if it goes up or don't and how that relates to max or min.

  11. Loser66
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    First off, they give you a "function below". That is \(f(x) = -x^2 +12x-38\). Just look at the coefficient of x^2 which is -1 and the highest degree of x 1) highest degree is 2 --> it is a parabola 2) coefficient of x^2 is -1 --> negative number means the parabola is downward. And, if it is downward, it has maximum , no minimum if it is upward ( the coefficient of x^2 is positive ), it has minimum, no maximum. |dw:1433033722652:dw|

  12. Loser66
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1433033750941:dw|

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

    thank you!

  14. 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.