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22 September, 04:33

Write v = 2x2 + 12x + 1 in vertex form.

A. y = (x+3) 2 - 17

B. y = (x+4)

C. y=2 (x+3) 2 - 17

D. y = 2 (x + 2) 2 + 12

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Answers (2)
  1. 22 September, 04:51
    0
    C

    Step-by-step explanation:

    The equation of a parabola in vertex form is

    y = a (x - h) ² + k

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

    Given

    y = 2x² + 12x + 1

    To express in vertex form use the method of completing the square.

    The coefficient of the x² term must be 1, thus factor out 2 from 2x² + 12x

    y = 2 (x² + 6x) + 1

    add / subtract (half the coefficient of the x - term) ² to x² + 6x

    y = 2 (x² + 2 (3) x + 9 - 9) + 1

    = 2 (x + 3) ² - 18 + 1

    = 2 (x + 3) ² - 17 → C
  2. 22 September, 04:59
    0
    answer : C 2 (x-3) ²-17

    Step-by-step explanation:

    hello:

    answer : C 2 (x-3) ²-17

    calculate : 2 (x-3) ²-17 = 2 (x²-6x+9) - 17 = 2x²-12x+18-17

    2 (x-3) ²-17 = 2x²-12x+1 ... (right)
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