I have a hard time recognizing transformations of functions.

AI Thread Summary
Recognizing transformations of functions, such as vertical expansions and horizontal compressions, can be aided by identifying invariant points. Invariant points remain unchanged during transformations, which can help determine the type of transformation applied. For instance, if points on the y-axis remain fixed while the function stretches, it indicates a horizontal compression or expansion. Understanding these concepts is crucial for accurately interpreting function transformations. Mastery of these techniques enhances overall comprehension of function behavior.
Intr3pid
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hello everyone

can anyone give me any tips on recognizing compressions and expansions of functions? ie. vertical expansion, horizontal compression
 
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Look for invariant points.
Example: if you are given a function that has been stretched in some way, but the points on the y-axis have not moved, you know it was a horizontal compression/expansion.
 

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