SOLUTION: For the equation -4x^6+6y=-9 answer the following questions. Is the equation symmetric with respect to the y-axis? ( yes or no) Is the equation symmetric with respect to the

Algebra ->  Graphs -> SOLUTION: For the equation -4x^6+6y=-9 answer the following questions. Is the equation symmetric with respect to the y-axis? ( yes or no) Is the equation symmetric with respect to the       Log On


   

Question 785550: For the equation -4x^6+6y=-9 answer the following questions.
Is the equation symmetric with respect to the y-axis? ( yes or no)
Is the equation symmetric with respect to the x-axis? ( yes or no)
Is the equation symmetric with respect to the origin? ( yes or no)
thank you!!
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Is the equation symmetric with respect to the y-axis?
Yes, because replacing -x for x gives an equivalent equation.
-4%28-x%29%5E6%2B6y=-9 --> -4x%5E6%2B6y=-9

Is the equation symmetric with respect to the x-axis?
No, because replacing -y for y does not give an equivalent equation.
-4x%5E6%2B6%28-y%29=-9 --> -4x%5E6-6y=-9

Is the equation symmetric with respect to the origin?
No, because replacing -x for x and -y for y at the same time does not give an equivalent equation.
-4%28-x%29%5E6%2B6%28-y%29=-9 --> -4x%5E6-6y=-9

graph%28300%2C300%2C-1.3%2C1.3%2C-2%2C0.5%2C%284x%5E6-9%29%2F6%29 The bottom of the curve ist not exactly flat but the curvature is too slight to show be visible.