2 a graph will have symmetry about the y axis if we

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Unformatted text preview: will be the graph of f ( x ) shifted © 2007 Paul Dawkins 229 http://tutorial.math.lamar.edu/terms.aspx College Algebra left or right by c units depending on the sign of c and up or down by k units depending on the sign of k. Let’s take a look at a couple of examples. Example 3 Use transformation to sketch the graph of each of the following. 2 (a) f ( x ) = ( x - 2 ) + 4 [Solution] (b) g ( x ) = x + 3 - 5 [Solution] Solution (a) f ( x ) = ( x - 2 ) + 4 2 In this part it looks like the base function is x 2 and it looks like will be shift this to the right by 2 (since c = -2 ) and up by 4 (since k = 4 ). Here is the sketch of this function. [Return to Problems] (b) g ( x ) = x + 3 - 5 For this part we will be shifting x to the left by 3 (since c = 3 ) and down 5 (since k = -5 ). Here is the sketch of this function. [Return to Problems] © 2007 Paul Dawkins 230 http://tutorial.math.lamar.edu/terms.aspx College Algebra Reflections The final set of transformations that we’re going to be...
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This note was uploaded on 06/06/2012 for the course ICT 4 taught by Professor Mrvinh during the Spring '12 term at Hanoi University of Technology.

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