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Unformatted text preview: o do here other than just plugging in some points and plotting. x f(x) 0 0 1 1 -1 -1 2 8 -2 -8 Here is the graph of this function. We will need some of these in the next section so make sure that you can identify these when you see them and can sketch their graphs fairly quickly. © 2007 Paul Dawkins 226 http://tutorial.math.lamar.edu/terms.aspx College Algebra Transformations In this section we are going to see how knowledge of some fairly simple graphs can help us graph some more complicated graphs. Collectively the methods we’re going to be looking at in this section are called transformations. Vertical Shifts The first transformation we’ll look at is a vertical shift. Given the graph of f ( x ) the graph of g ( x ) = f ( x ) + c will be the graph of f ( x ) shifted up by c units if c is positive and or down by c units if c is negative. So, if we can graph f ( x ) getting the graph of g ( x ) is fairly easy. Let’s take a look at a couple of examples. Example 1 Using transformations sketch the graph of the follow...
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