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What is the image of a point under a transformation?

Updated: 10/17/2022
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Filbofabbins

Lvl 1
13y ago

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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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Can a point or line segment be its own image under a transformation?

Yes.


What is the resulting points under a transformation?

Image.


What is the image of a point?

The image of a point is the location where the point is displayed or represented on a coordinate plane or graph. It is the result of applying a transformation or function to the original point.


What transformation could be used to transform a point at 4 2 to a point at -4 2?

A reflection or a 'mirror image' in the y axis


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It's a translation.


What is a transformation that creates a mirror image of the original image?

A transformation that creates a mirror image of the original image is called a reflection. This transformation flips the image across a line called the axis of reflection, creating a mirror image that is a flipped version of the original.


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It is called an image.


What is The new figure that is produced in a transformation?

It is the image from the transformation.


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A figure resulting from a transformation is called an IMAGE


What is the name of a figure after transformation?

It is called "image".


That is the evaporation?

Transformation of a liquid in a gas at a temperature under the boiling point is called evaporation.


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The image.