Sunday, February 19, 2012

How Do We Graph a Dilation.

Hey, Nebbii here back with more geometric fun. So from my last few posts I explained the different types of transformations there are. Today we'll be learning how graph a dilation, and lucky for you it isn't that hard. A dilation is the change of a shapes size, but not its orientation.

So how do we put that onto a graph?

You first have to find the scale factor, that's the ration which the image is being enhanced or shortened by. So let's say if your coordinates are (2,4) and your dilation scale factor is 3, that would look like D3 (normally the 3 would be smaller beside the D. Your answer would be (6,12). You multiply the scale factor by the coordinates and sometimes you divide it. The question will normally make it clear whether you'll be dividing or multiplying but what is mainly asked is the scale factor.

Once you have your new points you plot it on the graph and ta-da! You have a cool new image.
I hope this helped, Later days. 

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