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Math

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Use the information provided to write the vertex form equation of each parabola.
a)y + 60x + 294 = -3x^2
b)−(y+1) = (x−4)^2

  • Math - ,

    a. y = -3x^2 -60x - 294.General or STD Form.

    h = -b/2a = 60 / -6 = -10.

    k = -3(-10)^2 - 60*-10 - 294 = 6.

    y = a(x-h)^2 + k,

    y = -3(x+10)^2 + 6. Vertex Form.

    b. -(y+1) = (x-4)^2,
    -y-1 = x^2 - 8x + 16,
    -y = x^2 - 8x + 17,
    y = -x^2 + 8x - 17,
    h = -b/2a = -8 / -2 = 4.

    k = -(4)^2 +8*4 - 17 = -1.

    y = -(x-4)^2 - 1.

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