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What is meant by transformations of functions?


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Solution

Meaning of transformations of functions:

The transformation of function is a function that transform one function or graph to the other function.

There are four types of transformations:

  • Reflection transformation- flips the object across a line by keeping it size or shape constant.
  • Rotation transformation - rotates or turns the curve around an axis without changing the size and shape of an object.
  • Translation- slides or moves the object in the space by keeping its size and orientation the same.
  • Dilation transformation- enlarges or shortens the object by keeping its shape or orientation the same. This is known as resizing.

Thus, the transformation of function is a function that transform one function or graph to the other function.


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