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college algebra

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F(X)= -3x^2 -30x-70
what is the vertex
what is the axsis of symmetry
what are the intercept
what is the domain
what is the range
intervals increase
intervals decrease

  • college algebra - ,

    you can see it's a parabola. By completing the square, you get

    y = -3(x^2 + 10x + 25) + 5
    y = -3(x+5)^2 + 5

    you should be able to read off most of the answers you need from that.

  • college algebra - ,

    im still having a hard time please help a little more

  • college algebra - ,

    review what you know about the parabola

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

    Here, we have
    y = -3(x+5)^2 + 5
    vertex at (-5,2)
    axis at x = -5
    y-intercept at (0,5)
    x-intercepts where 3x^2+30x+70 = 0, or
    x = 1/3 (-15±√15)
    domain is all reals
    range is all reals <= 5
    increase for x < -5
    decrease for x > -5

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