Find out the symmetry of equations, Algebra

Find out the symmetry of equations.

                                                 y = x2 - 6x4 + 2

Solution

First we'll check for symmetry around the x-axis. It means that we have to replace all the y's with -y. That's simple enough to do in this case since there is only one y.

- y = x2 - 6x4 + 2

Now, it is not an equal equation as the terms onto the right are alike to the original equation & the term on the left is the opposite sign.  So, this equation doesn't have symmetry around the x-axis.

Next, let's verify symmetry around the y-axis.  we'll replace all x's with -x here.

                                  y = ( - x )2 - 6 ( - x )4  + 2

                                   y = x2 - 6x4 + 2

Later than simplifying we got precisely the similar equation back out that means that the two are equivalent. Thus, this equation does have symmetry around the y-axis.

At last, we have to check for symmetry around the origin.  Here we replace both variables.

- y = ( - x )2  - 6 ( - x )4  + 2

- y = x2 - 6x4 + 2

Thus, as with the first test, the left side is distinct from the original equation & the right side is the same to the original equation. Thus, it isn't equivalent to the original equation & we don't contain symmetry regarding the origin.

Posted Date: 4/8/2013 2:05:06 AM | Location : United States







Related Discussions:- Find out the symmetry of equations, Assignment Help, Ask Question on Find out the symmetry of equations, Get Answer, Expert's Help, Find out the symmetry of equations Discussions

Write discussion on Find out the symmetry of equations
Your posts are moderated
Related Questions




As noted earlier most parabolas are not given in that form.  So, we have to take a look at how to graph a parabola which is in the general form.

the sudbrook school play has a maximum of 700 tickets to sell.at least 300 tickets must be sold in advance. Advance tickets will be sold for $20.00 while the tickeys at the door wi