Vertical shifts transformations, Algebra

By using transformations sketch the graph of the given functions.

                       g ( x ) = x2 + 3

Solution

Here the first thing to do is graph the function without the constant which by this point must be quite simple for you. Then shift accordingly.

                                            g ( x ) = x2 + 3

In this case we first have to graph x2 (the dotted line on the graph below) & then pick this up & shift it upwards through 3.  Coordinate wise it will mean adding 3 onto all the y coordinates of points on x2 .

Following is the sketch for this one.

510_Vertical Shifts Transformations.png

Hence, vertical shifts aren't all that bad if we are able to graph the "base" function first.  Note as well which if you're not sure that you believe the graphs in the earlier set of examples all you have to do is plug a couple values of x into the function & check that they are in fact the correct graphs.

Posted Date: 4/8/2013 1:56:27 AM | Location : United States







Related Discussions:- Vertical shifts transformations, Assignment Help, Ask Question on Vertical shifts transformations, Get Answer, Expert's Help, Vertical shifts transformations Discussions

Write discussion on Vertical shifts transformations
Your posts are moderated
Related Questions
which of the following value for x falls within the domain of the absolute inequality below? 2/3|9+x|>4

how do you find the solution using linear combinations 4x+3y=-1 and -3x+-5y=9

what is 500 times 70



The sum of the ages of Dorothy and Dona is 41. In 5 years, Dorothy will be twice as old as Dona. Find their age 3 years ago.


Question 1 (Multiple Choice Worth 1 points) (05.02) Choose the equivalent system of linear equations that will produce the same solution as the one given below. 4x - 2y = 6 2x +


i need with algebra