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
If the rational number x= b/ c is a zero of the n th degree polynomial,                                      P ( x ) = sx n + ...........+ t Where every the coefficients are

two debts- the first of 800 is due six month ago and the second of 1400 borrowed one year ago for a term of three years at 6.5% compunded annulallu are to be replaced by a single p


Example :   Use the quadratic formula to solve following equation.                            x 2 + 2x = 7 Solution Here the important part is to ensure that before we b

how do i find the length of the sides of a right triangle

(7x^3+6x^2)-2 -7x^3+6x^2-2 did I solve this correctly


no questions help me

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

techniques for creating equations for algebra 2 word problems