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
Graphing and Functions        Graphing In this section we have to review some of the fundamental ideas in graphing.  It is supposed that you've seen some graphing at th

How do you do uniform motion? i am stuck on some problems


If you sell a kayak for $400 and your sales per day averages $5200. Assume the sales per day is a linear function of price of kayak. write an equation describing the relationship.

#question: A large grain silo is to be constructed in the shape of a circular cylinder with a hemisphere attached to the top (see the figure). The diameter of the silo is to be 30

I am preparing for a CBA what do I need to study?


Consider the linear transformation     (a)  Find the image of (3 , -2 , 3) under T. (b)  Does the vector (5, 3) belong to the range of T? (c)  Determine the matrix of the trans

Domain and Range The domain of any equation is the set of all x's which we can plug in the equation & get back a real number for y. The range of any equation is the set of all

would a slope of a quadratic function get narrower or wider if the slope is changed from 3 to 2.5?