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Math Help - Transforming Functions

  1. #1
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    Transforming Functions

    Base function: f(x)=x^2
    Transformed Function: g(x)=-2(1/2(x+4))^2 -1

    Is this the correct order for the transformations needed to get from the base to the transformed?

    Vertical stretch by 2
    Horizontal stretch by 2
    Reflection in x axis
    Phase shift left 4
    Vertical Translation down 1

    If i is not, please fix it.
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by FORK View Post
    Base function: f(x)=x^2
    Transformed Function: g(x)=-2(1/2(x+4))^2 -1

    Is this the correct order for the transformations needed to get from the base to the transformed?

    Vertical stretch by 2
    Horizontal stretch by 2
    Reflection in x axis
    Phase shift left 4
    Vertical Translation down 1

    If i is not, please fix it.
    You need to work from the inside out. For example, if your final function is a function of x + 4, the first thing to do is to shift the graph 4 units to the left.

    So the starting point for this would be
    Shift to the left by 4 units
    Horizontal stretch of 2
    etc.

    -Dan
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