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Find the coordinates of the vertex and determine whether the graph opens up or down. y=-x^2+x-5

  • Algebra -

    it opens up, because the (x^2) is positive. if it was negative, it would open down. The vertex is as follows:

    to find the value of vertex, solve first for when x=o, then when y=0

  • Algebra -

    Actually, note that


    so it opens downward

    y = -(x^2 - x + 1/4) - 5 + 1/4
    = -(x - 1/2)^2 - 19/4

    Now it should be clear where the vertex lies.

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