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March 25, 2017

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Give vertex, axis, x-intercepts and y-intercepts to parabola

y= -3x^2-6x+4

  • Math - ,

    Y = -3X^2 - 6X + 4.

    Vertex Form: y = a(x - h)^2 + k.

    h = Xv = -b/2a = 6/-6 = -1.

    Substitute -1 for x in the given Eq:
    k = -3(-1)^2 - 6(-1) + 4=3 + 6 + 4 = 7.

    V(h , k) = V(-1 , 7).

    Vertex Form: y = -3(x + 1)^2 + 7.

    Axis = h =Xv = -1.
    The axis is a vertical line and equals
    -1 for all values of y.

    Let x = 0 and solve for y:
    y = 3*0^2 - 6*0 + 4 = 4 = Y-Int.

    The solutions,x-Intercepts, and roots
    are all the same.

    x = (6 +- sqrt(6^2 + 48)) / -6,
    x = (6 +- sqrt(84)) / -6,
    x = (6 +- 9.17) / -6,

    x = (6 + 9.17) /-6 = - 2.5275.
    x = (6 - 9.17) / -6 = 0.5275.

    Solution set: x = -2.5275, x = 0.5275.

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