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







Related Discussions:- Example of horizontal shifts, Assignment Help, Ask Question on Example of horizontal shifts, Get Answer, Expert's Help, Example of horizontal shifts Discussions

Write discussion on Example of horizontal shifts
Your posts are moderated
Related Questions
How do you expand a sigma notation from x to x of a variable that is not defined in the index. For example, summation of i=1 to n of x?

Example   Find out all the zeroes of P ( x ) = x 4 - 7 x 3 + 17 x 2 -17 x + 6 . Solution We found the list of all possible rational zeroes in the earlier example.  Follo

how do you make the fraction 17 5ths a mixed number?????

find the level of illumination for four fixtures rated at 2800 lumens each if the coefficient of depreciation is 0.75, the coefficient of utilization is 0.6, and the area of the ro


Give the slope of each line and determine whether the 2 lines are parallel, perpendicular or neither: 4x+3y=9 and -9x+12y=0

General problems for homework


Find regular grammar for a(a+b)*(ab*+ba*)b

how do you subtract 6/9 and 1/12