Graphing Cubic Functions - Module 5.3 (Part 1)

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This lesson shows the parent graph f(x) = x^3, and we then show translations, vertical stretches and compressions, horizontal stretches and compressions, along with reflections.
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i don't really understand the "b" part. so whatever the integer is for "b" we use the reciprocal of that?
2 --> 1/2; 1/2 -->2

auvo