SOLUTION: x^2 + y^2 + y = 0 whats the standard form center and radius? Also is x=4y^4-5y^2 symmetrical with x,y axis or origin?

Algebra ->  Trigonometry-basics -> SOLUTION: x^2 + y^2 + y = 0 whats the standard form center and radius? Also is x=4y^4-5y^2 symmetrical with x,y axis or origin?      Log On


   

Question 975560: x^2 + y^2 + y = 0
whats the standard form center and radius?
Also is x=4y^4-5y^2 symmetrical with x,y axis or origin?
Answer by josgarithmetic(39629) About Me  (Show Source):
You can put this solution on YOUR website!
x=4y%5E4-5y%5E2
x as a function of y. Horizontal axis of symmetry, much like a parabola, but it is not really a parabola.


x%5E2%2By%5E2%2By=0
Complete The Square for y.
x%5E2%2By%5E2%2By%2B1%2F4=1%2F4
x%5E2%2B%28y%2B1%2F2%29%5E2=1%2F4
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Center is (0,-1/2) and radius is 1%2F2.