# SOLUTION: Is the equation {{{y^4+y^2-7=3x+5x^2}}} symmetric about the x-axis?

Algebra ->  -> SOLUTION: Is the equation {{{y^4+y^2-7=3x+5x^2}}} symmetric about the x-axis?      Log On

 Ad: Mathway solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Click here to see ALL problems on Graphs Question 138691: Is the equation symmetric about the x-axis?Answer by jim_thompson5910(29613)   (Show Source): You can put this solution on YOUR website!Remember, if , then the equation is symmetric about the x-axis. So in this case, we only need to replace y with negative y and see if the equations are equivalent. Start with the given equation Replace each "y" with negative y Raise -y to the fourth power to get . Raise -y to the second power to get Since the first equation is equivalent to the last equation, this shows that graph is symmetric about the x-axis For visual proof, here's the graph: From the graph, we can see that equation is symmetric about the x-axis