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

kylewendt Group Title

How do you graph the quadratic equation 3x^2=3? I need help, my EOC is next Tuesday.

  • 6 months ago
  • 6 months ago

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

    First you can divide both sides by 3 to get x^2 = 1. Subtract 1 from both sides and you have x^2 - 1 = 0. The roots of this are -1 and 1. So this is a standard parabola shifted down one united passing through -1 and 1 on the x-axis.

    • 6 months ago
  2. FibonacciChick666 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    first, what shape does the graph make?

    • 6 months ago
  3. kylewendt Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    The graph makes a parabola when completed

    • 6 months ago
  4. FibonacciChick666 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    good, now, that is an important concept, so now, you have one slight problem, This is only in one variable(x) so you can't graph it. Are you sure you copied the question correctly?

    • 6 months ago
  5. kylewendt Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Yes. The exact question is: What are the solutions of the equation 3x^2=3? Use a graph of the related function.

    • 6 months ago
  6. Hero Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    @FibonacciChick666, what do you mean it can't be graphed?

    • 6 months ago
  7. FibonacciChick666 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    'graphed' I mean, it's a number line as stated

    • 6 months ago
  8. Hero Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Continuing what Turtlemuffin was saying, you have x^2 - 1 = 0 which factors to (x + 1)(x - 1) = 0

    • 6 months ago
  9. kylewendt Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    My question is, after you have your two x-intercepts, how do you find the vertex from (x+1)(x-1)=0?

    • 6 months ago
  10. Hero Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    We can use the vertex formula to graph the vertex. \(x = -\dfrac{b}{2a}\)

    • 6 months ago
  11. Hero Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    In this case b = 0 and a = 1, so \[x = -\frac{0}{2(1)} = 0\]

    • 6 months ago
  12. FibonacciChick666 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    @Hero , one variable= 1-D , no?

    • 6 months ago
  13. Hero Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Since \(x = 0\), we can insert 0 into the expression to get y = \(0^2 - 1 = -1\) so the vertex is \((0,-1)\)

    • 6 months ago
  14. kylewendt Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    So, the graph would look like this?

    • 6 months ago
    1 Attachment
  15. TurtleMuffin Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    That is an algebraic approach. You should know the graph of y=x^2. It's the standard parabola. We simplified your given equation into 0 = x^2 - 1. The "minus 1" tells us our standard parabola shifts down one unit. Therefore its x-coordinate remains the same, and it's y-coordinate is shifted down 1 unit from 0, i.e. it's now -1. You can remember all the formulas you want, but if you don't see how an algebraic equation is related to its graphical representation, you won't enjoy math too much. That is has how the graph looks like though!

    • 6 months ago
  16. FibonacciChick666 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    ah, now that I re-read the prompt, I understand.

    • 6 months ago
  17. FibonacciChick666 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    It wanted the roots, by looking at the related graph

    • 6 months ago
  18. kylewendt Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Thank you all for explaining, as I understand this concept now. My algebra teacher is one of the worst (I know that sounds generic), and intentionally ignores my questions to her on assignments because she doesn't like me. This really helps.

    • 6 months 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.