SOLUTION: I am trying to test an equation for symmetry. The equation is x^2 = y^3 + 4. I am starting by trying to find the intercepts. I think I found the intercepts for x - (2,0), (-2,

Algebra ->  Graphs -> SOLUTION: I am trying to test an equation for symmetry. The equation is x^2 = y^3 + 4. I am starting by trying to find the intercepts. I think I found the intercepts for x - (2,0), (-2,      Log On


   

Question 643877: I am trying to test an equation for symmetry. The equation is x^2 = y^3 + 4.
I am starting by trying to find the intercepts. I think I found the intercepts for x - (2,0), (-2,0). I am having trouble finding the intercepts for y.
I substitute 0 for X and get 0 + y^3 + 4. I convert that to y^3 = -4. I am not sure where to go from there. Can I get a cube root of four? Solving for y, would my answer be the cube root of four i? Does that mean there is no y intercept?
I've confused myself... Thanks for any help.
Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

I am trying to test an equation for symmetry. The equation is x^2 = y^3 + 4.
I am starting by trying to find the intercepts. I think I found the intercepts for x - (2,0), (-2,0). I am having trouble finding the intercepts for y.
I substitute 0 for X and get 0 + y^3 + 4. I convert that to y^3 = -4. I am not sure where to go from there. Can I get a cube root of four? Solving for y, would my answer be the cube root of four i? Does that mean there is no y intercept?
I've confused myself... Thanks for any help.

y%5E3+=+-+4

y+=+root%283%2C-+4%29

y+=+root%283%2C-+1%5E3+%2A+4%29

y-intercept = -+root%283%2C4%29, or - 1.587401052 ≈ highlight_green%28-+1.59%29

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