math

transform the ff. into the form f(x) = a(x - h)2 + k:
f(x)=x2-6x+4
f(x)=x2+4x+2
f(x)=3x2-5x+1

tnx a bunch!!!1

I'll do the third one for you, the first two are really easy

f(x)=3x^2-5x+1
=3(x^2 - 5/3 x ) + 1 factored out the 3 from first 2 terms
=3(x^2 - 5/3 x + 25/36 - 25/36) + 1 took half the coefficient of the x term, squared it, then added and subtracted it
= 3((x-5/6)^2 - 25/36) + 1 changed x^2 - 5/3 x + 25/36 to (x-5/6)^2, that is why it is called "completing the square"
=3(x-5/6)^2 - 25/12 + 1 multiplied by 3
=3(x-5/6)^2 - 13/12

of course a quicker way would be to find the x of the vertex using x=-b/(2a) = 5/(2*3) = 5/6 then subbingh that back into the equation to get y.
y = 3(25/36) - 5(5/6)+1
=25/12 - 25/6 + 1
=(25 - 50 + 12)/12
= -13/12

now form your equation
y = 3(x-5/6)^2 - 13/12

  1. 👍 0
  2. 👎 0
  3. 👁 76
asked by olive

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    How do I transform this into simple radical form... I have no idea how to do this could you please tell me the logic behind how you do this and step by step thanks (5^(1/2)-3^(1/2))^2 thanks again Also can you tell me how to

    asked by Kim on May 28, 2009
  2. algebra

    Can someone please explain What polynomial has a graph that passes through the given points? (–4, 89), (–3, 7), (–1, –1), (1, –1), (4, 329) y = 2x3 – 3x2 – 2x + 1 y = 1x4 – 2x3 – 3x2 + 2x + 1 y = x4 – 2x3 + 3x2

    asked by lee on November 14, 2012
  3. Math help please check

    Add or Subtract for #3-4 3. (2x2 + 6x + 1) + (–7x2 + 2x – 3) 5x2 – 4x – 2 –5x2 + 8x – 2 5x2 – 8x + 2 –9x2 – 8x + 2 4. (3x2 – 7x – 4) – (6x2 – 6x + 1) –3x2 – x –5 –3x2 –13x + 5 9x2 – x + 5 3x2

    asked by Delilah on May 6, 2013
  4. Math

    Is this equation right is it worked correctly x 1 ----- - -------- x2-4 x2+4x+4 This is how she simplified it: x(x2+4x+4) - 1(x2-4) ------------------- (x2-4)(x2+4x+4) x3+4x2+4x-x2+4 ------------- x4+4x3-16x-16 x3+3x2+4x+4

    asked by Nadine on October 24, 2008
  5. Algebra2

    Complete parts a – c for each quadratic function. a. Find the y-intercept, the equation of the axis of symmetry and the x-coordinate of the vertex. b. Make a table of values that includes the vertex. c. Use this information to

    asked by Mara on February 8, 2008
  6. math

    Determine the remainder of the following polynomial divisions: (2 marks) A) (4x4 + 3x2 - x + 3) ÷ (x + 1) B) (3x2 + 2x - 7) ÷ (2x - 1)

    asked by james on March 20, 2012
  7. college algebra

    Could you help me with this long division problem of a polynomial? 18x4+9x3+3x2/3x2+1

    asked by Jeff on April 13, 2008
  8. Math

    For what values of x(x≠0) will the following infinite geometric series have a finate sum? x+3x²+9x³+... 3x²/x what are the next steps? Thanks in advance.

    asked by sh on June 16, 2009
  9. Math

    Transform this equation to slope-intercept form: 6x + 4y = 8. A. y=3/2x +4 B.y=-3/2x +4 C.y=-3/2x +2 D.y=3/4x +2

    asked by KM on November 16, 2018
  10. math

    can someone help me and expalin how to do these five question please and thank you 11. y = ½ x2 +2x – 3 27. 3x2 – 5x = -3x2 + 6 33. x2 + 10x = -8 45. x2 – 6x + 9 = 0 47. (-3,0),(1,4),(-1,6),(2,0)

    asked by ili on March 7, 2014

More Similar Questions