Now lets address the reflection here since the minus

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Unformatted text preview: believe the graphs in the previous set of examples all you need to do is plug a couple values of x into the function and verify that they are in fact the correct graphs. Horizontal Shifts These are fairly simple as well although there is one bit where we need to be careful. Given the graph of f ( x ) the graph of g ( x ) = f ( x + c ) will be the graph of f ( x ) shifted left by c units if c is positive and or right by c units if c is negative. Now, we need to be careful here a positive c shifts a graph in the negative direction and a negative c shifts a graph in the positive direction. There are exactly opposite than vertical shifts and it’s easy to flip these around and shift incorrectly if we aren’t being careful. Example 2 Using transformations sketch the graph of the following functions. 3 (a) h ( x ) = ( x + 2 ) [Solution] (b) g ( x ) = x-4 [Solution] Solution (a) h ( x ) = ( x + 2 ) 3 Okay, with these we need to first identify the “base” function. That is the function that’s being shifted. In this...
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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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