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    True and False about Characteristics of a Parabola

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    These questions are about the quadratic function which takes the form:

    y=ax^2+bx+c

    Where a is non-zero.

    Choose the false statements.

    A. If c=0, then the graph of y will go through the origin

    B. If B=0, then the graph of y will not be a parabola.

    C. The graph of y will have a minimum value if a is positive.

    D. The graph of y will always cross the x-axis.

    E. The graph of y will always cross the y-axis.

    F. The graph of y is symmetric about a line through its vertex parallel to the y-axis.

    G. If the graph of y just touches the x-axis the equation y=0 has just one solution.

    H. The function y takes its maximum or minimum value when the gradient takes the value zero.

    © BrainMass Inc. brainmass.com February 24, 2021, 2:10 pm ad1c9bdddf
    https://brainmass.com/math/graphs-and-functions/true-false-characteristics-parabola-5205

    Solution Preview

    The two false answers are B and D.
    The reason for option B is that if b=0 the graph of y is still a ...

    Solution Summary

    True and false questions about the characteristics of the parabola are answered with reasons.

    $2.19

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