A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

For the function f(x) = –(x + 1)2 + 4, identify the vertex, domain, and range.

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

    Do you mean \( \huge f(x) = (x-1)^2 + 4) \)

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

    If you look at \( \huge f(x) = (x-1)^2 + 4) \) you can tell where the vertex is located. \( \huge f(x) = (x-1)^2 + 4) \) The 1 in \( (x-1)^2 \) is the x and the + 4 is the y so the vertex is (1,4)

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

    It also is telling the parabola to shift to the right by 1 and go up by four so where the 1 is located is known as the horizontal shift area and the 4 is in the vertical shift area.

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

    What do you think is the domain and range?

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

    Is the domain all real numbers? And the range is y greater than or equal to 4?

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

    @Nixy a = -1

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

    I'm unsure as to whether the vertex is truly (1,4) or if it is (-1,4). For reference, the function is f(x)=-(x+1)^2 +4

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

    |dw:1436741859005:dw|

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

    I meant all real numbers that latex did not come out good

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

    Yes, triciaal with his equation a = -1

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

    |dw:1436742029268:dw|

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

    If f(x) is polynomial of degree n then domain is \[\mathbb{R} \]

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

    @Thanasi99 it is (-1, 4)

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

    Thank you so much everyone! I do believe I had it now. Vertex= (-1,4) Domain= All real numbers Y= less than or equal to 4

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

    Correct Thanasi99

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

    range set of y- values domain set of x values vertex maximum or minimum here you have a max at 4 when a is positive opens up when a is negative opens down

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

    The range you get from the min / max if parabola mainly looking at the y value of the vertex and considering the value of a positive or negative

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

    I meant the values of a parabola open up or down will tell pretty much about range

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

    So, considering the parabola maxes out at 4 on the y-axis, and continues infinitely downward, the value set for the range would be y (less than or equal to) 4?

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

    Max 4 means that is great most x can map to. So all values if y that are less than or equal to that are good

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

    Sorry for some English typos from my phone lol

  22. 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.