We've some rather simply tests for each of the distinct types of symmetry.

1. A graph will have symmetry around the x-axis if we get an equal equation while all the y's are replaced with -y.

2. A graph will have symmetry around the y-axis if we obtain an corresponding equation while all the x's are replaced along with -x.

3. A graph will have symmetry around the origin if we obtain an equivalent equation while all the y's are replaced through -y and all the x's are replaced through -x.

We will describe just what we mean through an "equivalent equation" while we reach an example of that. For the majority of the instance which we're liable to run across it will mean that it is precisely the similar equation.

Let's test a few equations for symmetry.  Note that we aren't going to graph these as most of them would actually be rather difficult to graph. The point of this instance is only to use the tests to find out the symmetry of each equation.

Posted Date: 4/8/2013 2:04:42 AM | Location : United States

Ask an Expert

Related Discussions:- Tests for symmetry, Assignment Help, Ask Question on Tests for symmetry, Get Answer, Expert's Help, Tests for symmetry Discussions

Write discussion on Tests for symmetry
Your posts are moderated

Write your message here..

Related Questions

Mixed numbers and improper fractions, how do you make the fraction 17 5ths ... how do you make the fraction 17 5ths a mixed number?????

Algebra An Introduction, Some of the grouping symbols are braces,brackets,a... Some of the grouping symbols are braces,brackets,and parentheses.

Finding the inverse of a function, The process for finding the inverse of a... The process for finding the inverse of a function is a quite simple one although there are a couple of steps which can on occasion be somewhat messy.  Following is the process G

Domain, k^(2-) k-30 k^(2-) k-30

What the solution of this, 2x+5 2x+5

One step equations, x plus 6 equal -10 x plus 6 equal -10

Logarithm equations, Now we will discuss as solving logarithmic equations, ... Now we will discuss as solving logarithmic equations, or equations along with logarithms in them.  We will be looking at two particular types of equations here. In specific we will

Zeroes - roots of polynomials, We'll begin this section by defining just wh... We'll begin this section by defining just what a root or zero of a polynomial is.  We say that x = r is a root or zero of a polynomial, P ( x) , if P ( r )= 0 .  In other terms x=

Help me solve please, Given a = 2^4 * 3^3 * 7 * 13 and b = 2^3 * 3^2 * ... Given a = 2^4 * 3^3 * 7 * 13 and b = 2^3 * 3^2 * 5^2 * 11 * 17 (Note ^ is my symbol for exponent) find the greatest common denominator of a and b. Find the least common mult

Integers, r+7= r=3 r+7= r=3