For the graph of the parent function $$f(x)=x^3$$,$$f(-x) = -x^3$$ is a `____` (rigid or non-rigid) transformation.

Flashcard 2 - 11th Grade Mathematics: Geometry Flashcard Set for the SBAC

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The correct answer is:

rigid

Explanation:

Changing $x$ to $-x$ reflects the parent graph over the $y$-axis, but does not change its shape, so it is a rigid transformation. A non-rigid transformation will stretch or shrink a given graph of a function.

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