Tests for symmetry, Algebra

Assignment Help:

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.


Related Discussions:- Tests for symmetry

Absolute value bars, Solve following. 2x - 3 = 7 Solution Again,...

Solve following. 2x - 3 = 7 Solution Again, p represents the quantity within the absolute value bars thus all we have to do here is plug into the formula & then solve th

College Algebra Test Quesion, An inlet pipe can fill a large water tank in ...

An inlet pipe can fill a large water tank in 4 hours. Another inlet pipe can fill the same water tank in 5 hours. Given an empty water tank, at 8:00 AM, activate both pipes. What t

Standard form of a quadratic, First, the standard form of a quadratic equat...

First, the standard form of a quadratic equation is                                   ax2 + bx + c = 0                          a ≠ 0 Here the only needs are that we have an

Factoring binomials, What two numbers multiplied equal 216 but added togeth...

What two numbers multiplied equal 216 but added together equal -42?

Division algorithm, Given a polynomial P(x) along degree at least 1 & any n...

Given a polynomial P(x) along degree at least 1 & any number r there is another polynomial Q(x), called  as the quotient , with degree one less than degree of P(x) & a number R, c

Finding zeroes of polynomials, We've been talking regarding zeroes of polyn...

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

Isaac, 1. Isaac goes to an amusement park where tickets for the rides cost ...

1. Isaac goes to an amusement park where tickets for the rides cost $10 per sheet and tickets for the shows cost $15 each. a. Write an expression that describes the amount of money

Equations, Translate into an equation: A number increased by 19 equals 77 ...

Translate into an equation: A number increased by 19 equals 77 (let the number be represented by k)

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd