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 ) = x4 [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.
 Spring '12
 MrVinh

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