MATH

45. Express each equation in the specified form.

a. y = (x – 3)² - 25 in standard form

B. y = 2(x – 7)(x + 3) in standard form.

C. y = - 2x² + 28x – 26 in factored form

D. y = -9x² + 72x + 81 in vertex form

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  1. A. Y = (x-3)^2 - 25 = 0
    x^2 -6x + 9 - 25 = 0
    x^2 - 6x - 16 = 0.

    B. y = 2(x - 7)/(x + 3) = 0.
    Multiply both sides by x+3:
    2(x-7) = 0,
    2x - 14 = 0,
    x - 7 = 0.

    C. y = -2x^2 + 28x - 26 = 0,
    Divide both sides by -2:
    x^2 - 14x + 13 = 0,
    (x - 1)(x - 13) = 0.

    2x- 14 = 0.

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    2. 👎
  2. B. Correction: y = 2(x-7)(x + 3) = 0.
    Divide both sides by 2:
    (x - 7)(x + 3) = 0,
    x^2 - 4x - 21 = 0.

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