posted by .

Express this function in vertex form by completing the square:
3x^2 - 4x + 1


  • Math -

    3x^2 - 4x + C to be a perfect square, (ax + b)^2, where a abd b are constants. The square would be
    a^2 + 2ab + b^2. Therefore
    a = sqrt3 and 2b sqrt3 = -4
    b = -2/sqrt 3
    b^2 = 4/3

    3x^2 - 4x + 1 = (x sqrt 3 - 2/sqrt3)^2 -1/3

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra2/Trig

    Find an equation of the parabola with vertex at the origin. Passes through the point (4,6); horizontal axis. I know it has to be y^2=4px. But I don't know what to do with (4,6). Please show step by step. Thanks.
  2. Physics

    I'm trying to rearange this 0 = Xo + 2^-1 a t^2 for t I've been told that it is (a^-1 2x)^(2^-1) but I do not see how please show me step by step how you get that 0 - Xo = Xo - Xo + 2^-1 a t^2 (-Xo = 2^-1 a t^2) a^-1 2 (a^-1 (2-Xo) …
  3. Algebra

    27-f(x)=1/4x^2-2x-12. Can you show me how to find the vertex and x intercepts, step-by-step?
  4. Pre-cal

    Find the vertex of y^2 + 4y + 2x +10 = 0. Use completing the square to put the equation into standard form as your first step. Could you show me how to get the vertex?
  5. Pre-cal

    Sketech the graph of the equation y^2+4y+2x+10=0. Identify the vertex, the focus and the equation for the directrix. Use the completing the square to put the equation into standard form as your first step. This is what I did. y^2 + …
  6. Precalc

    use completing the square to describe the graph of each function. How do you complete the square with this equations. please show me step by step so that I can understand it. x^2-4x+6
  7. Algebra

    Solve by completing the square: x^2-6x+3=0 please take me step by step
  8. Quantitative Reasoning ( College Freshman)

    For the quadratic function : y=-0.25(x+8)(x-6) write the function in the vertex form y=a(x-h)^2+k by completing the square. Show all work.
  9. Math

    find the derivative of x^3-6x^2+15x+8 and show by completing the square that function has no turning point. I can find derivative but not sure of next step
  10. Math(Reiny Could You Help?)

    The graph of the function g(x) has the same shape and direction of opening as the graph of f(x)= 3(x-2)^2+9. The graph of g(x) has a vertex that is 2 units to the right and 5 units down from the vertex of the graph of f(x). A.) Determine …

More Similar Questions