Example of horizontal shifts, Algebra

By using transformations sketch the graph of the given functions.

                                         h ( x ) = ( x + 2)3

Solution

With these we have to first identify the "base" function. i.e. the function that's being shifted.  In this case it seem like we are shifting f ( x ) = x3 . Then we can see that,

                                           h ( x ) = ( x + 2)3 =   f (x + 2)

In this case c = 2 and thus we're going to shift the graph of f ( x ) = x3  (the dotted line on the graph below) & move it 2 units to the left. It will mean subtracting two from the x coordinates of all the points on f ( x ) = x3 .

Following is the graph for this problem.

1706_Example of Horizontal shifts.png

Posted Date: 4/8/2013 1:58:01 AM | Location : United States







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