Nonrigid Transformations : 

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A nonrigid transformation of the graph of y = f(x) is represented by g(x) = c f(x), where the transformation is a vertical stretch if c > 1 and a vertical shrink if 0 < c < 1.

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Another nonrigid transformation of the graph of y = f(x) is represented by h(x) = f (cx), where the transformation is a horizontal shrink if c > 1 and a horizontal stretch if 0 < c < 1.

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The parent function is f(x) = x2, and the transformation function is g(x) = (9x)2.

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 The graph of g(x) = (9x)2 is a horizontal shrink or compression ( since c = 9 > 1)  of the graph of f(x) = x2 because

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g(x) = (9x)2

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        = f (9x).

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