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    Determining the number of x-intercepts and the location of the vertex.

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    Without drawing the graph of the given equation, determine:
    (a) how many x-intercepts the parabola has
    (b) whether its vertex lies above or below the
    x-axis.

    y = -x^2 + 2x - 1

    © BrainMass Inc. brainmass.com February 24, 2021, 2:12 pm ad1c9bdddf
    https://brainmass.com/math/determining-the-number-of-x-intercepts-and-the-location-of-the-vertex-6761

    Solution Preview

    Y = -x^2+2x-1 = -(x-1)^2
    So we know that the parabola has only ...

    Solution Summary

    For a given function, the number of x-intercepts and the location of the vertex is determined, without drawing the function.

    $2.19

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