If x = -3 is the only x-intercept of the graph of a quadratic equation, which statement best describes

If x = -3 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the
equation?
the discriminant is negative.
the discriminant is -3.
the discriminant is 0.
the discriminant is positive.
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This Post Has 9 Comments

  1. Discriminant is positive the graph of the quadratic equation will. have 2 x- intercepts ... how do you find the x coordinate of the vertex of a parabola

  2. C) The discriminant is 0.

    Step-by-step explanation:

    Since the graph of the quadratic equation has only one x-intercept, we can conclude that the quadratic has only one real root.

    If a quadratic equation has only one real root, then the discriminant is 0

  3. It is 0.

    Step-by-step explanation:

    The discriminant will be zero. There will be only one root (multiplicity 2) and the  graph  turning point of the graph of the function just touches the point (-3, 0).

  4. D = 0

    Step-by-step explanation:

    Given

    x-intercept = -3

    Required

    What does the discriminant represent?

    The discriminant of a quadratic function can take any 3 values; these are as follows;

    When D > 0 When D < 0When D = 0

    Which translates to

    signifies that two different real roots existsignifies that only complex roots existsignifies that the two identical real roots exist

    The question says that x-intercept = -3 is the only value;

    This means that: x = -3 or x = -3

    Analyzing the roots

    3 and -3 are identical-3 and -3 are real

    This means they satisfy condition number 3;

    Hence, D = 0

  5. The discriminant is 0

    Step-by-step explanation:

    If b² - 4ac = 0 then the roots are real and equal

    Since there is only one x- intercept then this condition applies

  6. The discriminant is 0

    Step-by-step explanation:

    Since the graph of the quadratic equation has only one x-intercept, we can conclude that the quadratic has only one real root.

    If a quadratic equation has only one real root, then the discriminant is 0

    If x = -3 is the only x-intercept of the graph of a quadratic equation then the discriminant is 0

  7. b² - 4ac = 0

    Step-by-step explanation:

    The nature of the roots of a quadratic equation are determined by the discriminant, that is

    • If b² - 4ac > 0 then roots are real and distinct

    • If b² - 4ac = 0 then roots are real and equal

    • If b² - 4ac < 0 then roots are not real

    x = - 3 indicates an equal root, hence b² - 4ac = 0

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