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  • Perplex
    IB Math AIHL
    /
    Transformations & asymptotes
    /

    Problems

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    Problem Bank - Transformations & asymptotes

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

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    6 / 15 problems visible - Upgrade to view all problems

    IB: 6
    8

    0 / 7

    The graph of a function y=f(x) is shown in the diagram below for x>−3.


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    On the axes below, sketch the graph of y=−3f(3−2x).

    [7]

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    9

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    The function f is defined by f(x)=sin(ax+k), where a,k>0. The graph of y=f(x) is plotted below for −2b<x<4b, where x is in radians.

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    1. Give an expression for b in terms of a.

      [2]
    2. Hence find the smallest possible value of k.

      [3]

    The function g is defined by g(x)=sin(32ax​+k) for −3b<x<6b.

    1. Sketch the graph of y=g(x) on the axes above.

      [4]
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