SOLUTION: determine the symmetries (if any) of the graph of the given relation 5y^3=6x^3+2 is it symmetric with respect to the origin?? is it symmetric with respect to the y-axis?? is

Algebra ->  Graphs -> SOLUTION: determine the symmetries (if any) of the graph of the given relation 5y^3=6x^3+2 is it symmetric with respect to the origin?? is it symmetric with respect to the y-axis?? is       Log On


   

Question 1126034: determine the symmetries (if any) of the graph of the given relation
5y^3=6x^3+2
is it symmetric with respect to the origin??
is it symmetric with respect to the y-axis??
is it symmetric with respect to the x-axis??
It is not symmetric with respect to the x-axis, y-axis, or origin??
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Replace x with -x and y+with -y+to check if there is x-axis, y-axis , or origin symmetry.
5y%5E3=6x%5E3%2B2+
5%28-y%29%5E3=6%28-x%29%5E3%2B2
-5y%5E3=-6x%5E3%2B2+

Not symmetric to the x-axis
Not symmetric to the y-axis
Not symmetric to the origin

so,answer is : It is not symmetric with respect to the x-axis, y-axis, or origin??
to see more examples, visit
https://www.purplemath.com/modules/symmetry3.htm