Vertical shifts transformations, Algebra

By using transformations sketch the graph of the given functions.

                       g ( x ) = x2 + 3


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

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