Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

lindseyharrison

  • 2 years ago

What is the range of the graph of y = (x - 4)^2 + 3

  • This Question is Closed
  1. jim_thompson5910
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Hint: In general, the range of y = a(x-h)^2+k is [k, infinity) if a > 0

  2. lindseyharrison
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Y ≤ 3??

  3. jim_thompson5910
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    close, it should be \[\Large y \ge 3\]

  4. lindseyharrison
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    What about this.... 4x^2 + 13x = -3

  5. jim_thompson5910
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    You need to complete the square. Do you know how do to that?

  6. lindseyharrison
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    no

  7. lindseyharrison
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    So the answer would be x = -1/4 and x = -3

  8. jim_thompson5910
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    you're looking for the range correct?

  9. lindseyharrison
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    No just solving the equation

  10. jim_thompson5910
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    oh sry, I thought you were finding the range

  11. jim_thompson5910
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    4x^2 + 13x = -3 4x^2 + 13x + 3 = 0 Now use the quadratic formula to solve for x x = (-b+-sqrt(b^2-4ac))/(2a) x = (-(13)+-sqrt((13)^2-4(4)(3)))/(2(4)) x = (-13+-sqrt(169-(48)))/(8) x = (-13+-sqrt(121))/8 x = (-13+sqrt(121))/8 or x = (-13-sqrt(121))/8 x = (-13+11)/8 or x = (-13-11)/8 x = -2/8 or x = -24/8 x = -1/4 or x = -3 So you are correct, nice job

  12. lindseyharrison
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Thank you thank you! :)

  13. jim_thompson5910
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    sure thing

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

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

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.