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
what does x when y=2x=3

Sketch the graph parabolas. f (x ) = 2 ( x + 3) 2   - 8 Solution In all of these we will just go through the procedure given above to determine the required points and t

3X^8+6X^7-9X^6+6X^5 FACTOR THE EXPRESSION

For these properties we will suppose that x > 0 and y > 0 log b ( xy ) = log b x + log b   y log b (    x/y) = log b   x - log b   y log b (x r ) = r log  x If log


When the Gleo Retro (a trendy commuter car) is brand new, it costs $23,500. Each year it loses 15 % of its value. What will the car be worth when it is 15 years old?



A student rented a bicycle for a one-time fee of $12.00 and then a charge of $0.85 per day.She paid $28.15 for the use of the bicycle. How many days did she keep it?