Symmetry, Algebra

In this section we will take a look at something that we utilized back while we where graphing parabolas.  Though, we're going to take a more common view of it this section. Several graphs have symmetry to them.

In graphing Symmetry can be useful an equation as it says that if we know one portion of the graph then we will also know the left over (and symmetric) portion of the graph as well. We utilized this fact while we were graphing parabolas to obatin an extra point of some of the graphs.

In this section we desire to look at three types of symmetry.

1.   A graph is said to be symmetric around the x-axis if whenever ( a, b) is on the graph then hence is ( a, -b ) .  Following is a sketch of a graph which is symmetric around the x-axis.

1551_Symmetry.png

1.      A graph is said to be symmetric around the y-axis if whenever ( a, b) is on the graph then hence is ( -a, b ) .  Following is a sketch of a graph which is symmetric around the y-axis.

2164_Symmetry1.png

3.   A graph is said to be symmetric around the origin if whenever ( a, b ) is on the graph then hence is ( -a, -b ) .  Following is a sketch of a graph which is symmetric around the origin.

1508_Symmetry2.png

Note that most of the graphs don't have any sort of symmetry.  Also, it is possible for a graph to have more than one type of symmetry. For instance the graph of a circle centered at the origin exhibits all three kinds of symmetries.

Posted Date: 4/8/2013 2:04:04 AM | Location : United States







Related Discussions:- Symmetry, Assignment Help, Ask Question on Symmetry, Get Answer, Expert's Help, Symmetry Discussions

Write discussion on Symmetry
Your posts are moderated
Related Questions
We've been talking regarding zeroes of polynomial and why we require them for a couple of sections now. However, we haven't really talked regarding how to actually determine them f

hello please help me on the result of 6 6sen{a}+3=4sen{a}+4

Now it is time to look at solving some more hard inequalities.  In this section we will be solving (single) inequalities which involve polynomials of degree at least two.  Or, to p



if I have the equation 3(x+4y)+5(2x-y)an then I change it into (3x+12y)+(10x-5y) what property is it


Example  Evaluate each of the following logarithms. (a) log1000  (b) log 1/100  (c) ln1/e  (d) ln √e (e) log 34 34 (f) log 8 1 Solution In order to do

In the last two sections of this chapter we desire to discuss solving equations & inequalities that have absolute values.  We will look at equations along with absolute value in th