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Sketch each of the images under the specified transformation_Tis the expansion and contraction represented by Tlx; y) = (ix2y)...

Question

Sketch each of the images under the specified transformation_Tis the expansion and contraction represented by Tlx; y) = (ix2y)

Sketch each of the images under the specified transformation_ Tis the expansion and contraction represented by Tlx; y) = (ix2y)



Answers

Identify each transformation. Then use arrow notation to describe the transformation.

So in the given image. If you notice if you draw a line here, you'll notice that this is the pre image on dhe. It's being reflected along this line, so if you just take the reflection on the other side of the line, you'll get the image. So this transformation here is actually a reflection, so this isn't a transformation.

So here noticed that if we draw a line going just between the two figures, you'll notice that one triangle is the reflection of the other one. So this transformation is a reflection along this dotted line here, and the actual transformation is going to be a triangle. C B transforms to triangle, see Prime be prime a prime.

And this given transformation, noticed that each point off the square moves a certain fixed distance, and they're still in the same position relative to each of the other points in the square. So this is going to be a translation. Translation on DDE. Translation is gonna go Something like square P Q. R s transforms to square P Prime Cube crime are prime s pride.

His first ever. Now all the points before and after the transformation on dhe here applauded them out on the Cartesian plane Right away you'll notice that all of them have shifted by a fixed distance and are still within the same distance from one another after the transformation. So distance between GM is the same as distance between J Prime and M Prime and so on. So to identify, you can look at the corresponding X coordinates between each of the points. You can see that the X coordinate has increased by four in each case. So negative two plus four is positive to zero plus four is four and so on. And same for the why you can say why has decreased by two. So that's your transformation. And this is a translation, of course. So your actual transformation is gonna be something like X Y becomes X plus four line minus two. So that's your transformation on DDE drawing them out. I, uh, this this is before the transformation. So this is the pre image, and this is what you have after the transformation. And this is your image


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