Number Greater Than 1 In Front of x^2

Discussion in 'Off-Topic Chat' started by nycmathguy, Aug 4, 2022.

  1. nycmathguy

    nycmathguy

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    What happens to a parabola when the number in front of x^2 is greater than 1? Does the parabola shape shrink? Does the parabola shape expand?

    For example:

    Graph y = 4x^2.
     
    nycmathguy, Aug 4, 2022
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  2. nycmathguy

    MathLover1

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    f(x)=ax^2

    The magnitude of a indicates the stretch of the graph.

    If |a|>1, the point associated with a particular x-value shifts farther from the x–axis, so the graph appears to become narrower, and there is a vertical stretch.

    But if |a|<1, the point associated with a particular x-value shifts closer to the x–axis, so the graph appears to become wider, but in fact there is a vertical compression.
    [​IMG]
     
    MathLover1, Aug 4, 2022
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  3. nycmathguy

    nycmathguy

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    So, numbers greater than 1 in front of x^2 for
    y = x^2 stretch the graph.
     
    nycmathguy, Aug 4, 2022
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