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Graph Vertical Transformations - Example 1

In mathematics, a graph transformation is a function that maps one graph to another. Such transformations are used in the study of graph theory, in particular in the study of planar graphs.


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Video Transcript

transformation of a son graph, and we're gonna use y equals Tucson plus one. Now, remember, to do this, we have to find what R. K is because K is gonna be our midline. In this case, R K is going to be positive one. So I'm gonna go ahead and I'm gonna draw a positive one right there on my parent graph. Now, the other thing we need to do is we need to find our amplitude when you're doing a vertical shift. You do want to find your amplitude because that's going to kind of give you on idea of where things were going to kind of go. So for this one are amplitude would be the absolute value of two, Which would be to So that means that I'm gonna have some lines, I don't know. But that's not to say that I can't go up beyond those lines, but that's just our amplitude of where it's extending thio. So let's graph our new graph. So we're gonna draw. So are points that since we're going up one unit, so all of our points will draw them up one unit. So our points that were at zero across the X axis should now be on our midline so that I'll kind of give you an idea of the horizontal shift.