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    Mathematics
    Grade10
    Easy

    Question

    The period, in seconds, of a pendulum’s swing on Earth is given by the function f left parenthesis x right parenthesis equals 2 straight pi square root of fraction numerator straight x over denominator 9.8 end fraction end root, where x is the length of the pendulum in meters. On the moon, the equation that gives the period of the pendulum is g left parenthesis x right parenthesis equals 2 pi square root of fraction numerator x over denominator 1.6 end fraction end root. How the graph of  differs from the graph of  in terms of stretches and compressions.

    1. Vertical stretch
    2. Vertical compression
    3. Horizontal stretch 
    4. Horizontal compression

    The correct answer is: Horizontal stretch

      g left parenthesis x right parenthesis equals k f left parenthesis x right parenthesis equals 2.47 f left parenthesis x right parenthesis comma text  where  end text k equals 2.47 greater than 1
      So, the graph of g is a vertical stretch of graph of f.

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