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  • Perplex
    IB Math AAHL
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    Quadratics
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    Problem Bank - Quadratics

    Access custom-built, exam-style problems for quadratics. Each problem has a full solution and mark-scheme, as well as AI grading and support.

    47 Problems Available

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    IB: 4
    1

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    0 / 7

    On the axes below, sketch the graph of y=−x2−x+6, clearly indicating any axes intercepts as well as any maxima or minima.

    [7]

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    2

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    The equation x2+(k−5)x+5k=25 has two distinct real solutions.

    Find the possible value(s) of k.

    [5]
    3

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    The function f is defined by f(x)=2x2+2x−24, for x∈R.

    For the graph of y=f(x):

    1. Write down the y-intercept.

      [1]
    2. Find the x-intercepts.

      [3]
    3. Find the coordinates of the vertex.

      [3]
    4

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    0 / 6

    The following diagram shows part of the graph of g(x)=a(x−h)2+k.

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    1. Write down the values of h and k.

      [2]

    The function g can also be expressed in the form g(x)=a(x−α)(x−β), where β>α.

    1. Write down the values of α and β.

      [2]
    2. Find the value of a.

      [2]
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    7

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