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The image of a point under a transformation is its new position after applying the transformation. For example, in a translation, the point shifts to a new location based on a given direction and distance. Similarly, in a reflection, rotation, or scaling, the image is determined by the transformation's rules.

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There are many types of transformations and I like the conformal complex number types. Say you have a point (2+3i) and you want to transform or invert it to the unit circle. Use 1/z=1/(2+3i)=.1538-.231i. Or you could use something more complex like sin(z)=sin(2+3i)=9.15-4.17i. If you are not in to conformal mapping then surf the net and challenge your brain even more.

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Q: What is the image of a point under a transformation?
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