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14 March, 17:17

Rewrite the quadratic function in vertex form.

Y=3x^2-12x+4

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Answers (2)
  1. 14 March, 17:45
    0
    y=3 (x-2) ^2-8 I'm pretty sure
  2. 14 March, 18:18
    0
    y = 3 (x - 2) ² - 8

    Step-by-step explanation:

    The equation of a quadratic in vertex form is

    y = a (x - h) ² + k

    where (h, k) are the coordinates of the vertex and a is a multiplier

    To obtain this form use the method of completing the square

    • The coefficient of the x² term must be 1

    Factor out 3 from the first 2 terms

    y = 3 (x² - 4x) + 4

    • add/subtract (half the coefficient of the x - term) ² to x² - 4x

    y = 3 (x² + 2 ( - 2) x + ( - 2) ² - ( - 2) ²) + 4 ← complete the square

    y = 3 (x - 2) ² - 12 + 4

    y = 3 (x - 2) ² - 8 ← in vertex form
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