Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

that1chick

Rewrite y = 3x2 - 24x + 10 in general form.

  • one year ago
  • one year ago

  • This Question is Closed
  1. Mertsj
    Best Response
    You've already chosen the best response.
    Medals 1

    General Form You have already seen how to graph a quadratic function when it is in its standard form. Recall that the standard form of a quadratic function looks like: y=a(x-h)^2+k But how do you graph a quadratic function when it is in its general form? The general form of a quadratic function looks like this: y=ax^2+bx+c

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

    So how does your author define general form?

    • one year ago
  3. that1chick
    Best Response
    You've already chosen the best response.
    Medals 0

    h=x, k=y... the problem I'm having with this one is splitting the 3 in 3x^2...?

    • one year ago
  4. that1chick
    Best Response
    You've already chosen the best response.
    Medals 0

    Its just asking to rewrite it not graph it... heres what I have so far:

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

    So you want h-k form?

    • one year ago
  6. that1chick
    Best Response
    You've already chosen the best response.
    Medals 0

    -10 on both sides Y-10=3x^2-24x 24/2=12 12^2=144 Y-10=3x^2-24x+144

    • one year ago
  7. that1chick
    Best Response
    You've already chosen the best response.
    Medals 0

    Its in standard form, I want general form(:

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

    Let's write it like this: |dw:1362857059987:dw|

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

    Now complete the square inside the parentheses

    • one year ago
  10. that1chick
    Best Response
    You've already chosen the best response.
    Medals 0

    OH! gcf! of course!!:D

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

    |dw:1362857161791:dw|

    • one year ago
  12. that1chick
    Best Response
    You've already chosen the best response.
    Medals 0

    Thank you(: I forgot to look for a gcf

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

    yw

    • one year ago
  14. that1chick
    Best Response
    You've already chosen the best response.
    Medals 0

    Y-10=3x^2-24x+144 Now factor the GCF y-10=3(x^2-8x+48) y-10=3(x-4)(x+12) +10 to both sides Y=3(x-4)(x+12) +10 Right?

    • one year ago
  15. that1chick
    Best Response
    You've already chosen the best response.
    Medals 0

    how did you get 16^^

    • one year ago
  16. that1chick
    Best Response
    You've already chosen the best response.
    Medals 0

    Oh wait... I know

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

    No. You cannot add 48 to one side without adding it to the other side. Did you see in my example that I added 16 inside the parentheses to complete the square? But I was really adding 48 to the right side because there is a 3 outside the parentheses. So then I subtracted 48 so there would be a net change of 0. Of course I could have added 48 to the left side which would have accomplished the same purpose.

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

    16 is the number that completes the square for x^2+8x

    • one year ago
  19. that1chick
    Best Response
    You've already chosen the best response.
    Medals 0

    1 sec..

    • one year ago
  20. that1chick
    Best Response
    You've already chosen the best response.
    Medals 0

    Y-10=3x^2-24x GCF Y-10=3(x^2-8x) Complete the square 8/2=4 4^2=16 y-10=3(x^2-8x-16) Simplify y-10=3(x-4)^2 +10 to both sides y=3(x-4)^2 +10 Right?

    • one year ago
  21. that1chick
    Best Response
    You've already chosen the best response.
    Medals 0

    and by simplify I mean find the binomial...(:

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

    So let's multiply out your result: \[y=3(x-4)^2+10=3(x^2-8x+16)+10=3x^2-24x+48+10=\]

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

    \[3x^2-24x+58\]

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

    Is that the problem you started with?

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

    If it isn't, then what you have done is changed the original problem instead of keeping the original problem and expressing it in another form.

    • one year ago
  26. that1chick
    Best Response
    You've already chosen the best response.
    Medals 0

    What am I doing wrong?

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

    When you add 48 to the right side, you then have 2 choices: 1. subtract 48 from the right side 2. Add 48 to the left side.

    • one year ago
  28. that1chick
    Best Response
    You've already chosen the best response.
    Medals 0

    y-10=3x^2-24x y-10=3x^2-24x+48 +48 y+38=3x^2-24x+48

    • one year ago
  29. that1chick
    Best Response
    You've already chosen the best response.
    Medals 0

    y+38=3(x^2-8x+16) y+38=3(x-4)^2 Right so far?

    • one year ago
  30. that1chick
    Best Response
    You've already chosen the best response.
    Medals 0

    Ok I solved it out on paper(: thank you for helping me

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

    yes

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

    yw

    • one year ago
  33. that1chick
    Best Response
    You've already chosen the best response.
    Medals 0

    24/2=12 12^2=144........

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

    That is true. Not sure it is very useful.

    • one year ago
  35. that1chick
    Best Response
    You've already chosen the best response.
    Medals 0

    y-10=3x^2-24x+144

    • one year ago
  36. that1chick
    Best Response
    You've already chosen the best response.
    Medals 0

    k, never mind

    • one year ago
    • Attachments:

See more questions >>>

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.