A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

the function f is defined for all real numbers x by f(x) = ax^2 + bx + c where a, b and c are constants and a is negative. in the xy-plane, the x-coordinate of the vertex of the parabola y =f(x) is -1. If t is a real number for which f(t) > f(0), which of the following must be true. 1: -2 < t < 0 2: f(t) < f(-2) 3: f(t) > f(1) really struggling to conceptualize this...

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

    n22, the answer 1 must be correct. The point c is on the right of vertex x=-1.. so values greater then c must be on the "top" of parabola... im drawing..

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

    are you agree?

    1 Attachment
  3. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes, but i thought the value of c caused a vertical shift?

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

    this is a generic chart because c must be any real value.. And you right c causes the vertical shift up or down

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

    ok so also, the answer says that option 3 is correct as well, can you help with that too?

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

    lets think together..

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

    first point : f(0)=c

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

    right, and i can't figure out where to go from there...

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

    ah! do you know the coordinates of the vertex of the parabola formula: Xv=-(b/2a) Yv=-delta/4a ??

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

    yes i know this one

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

    we have Xv=-1

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

    so b=2a, but "a" is negative...

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

    so "b" is negative too

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

    ok, but how does that affect t?

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

    i think i'm going to sleep on it...i'm tired. thank you for your help with part 1!!

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

    you're welcome.. but i think the answer 3can be worng... values greater then c must to be in interval on the "top" of parabola.. good look

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

    i'll make that note for the morning :) good night!

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

    good night!

  19. 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.