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

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,

Question 643875: 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 stanbon(75887) (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.
------
y-axis symmetry if you substitute -x for x
and it would give you the same equation.
Example: y = x^2
----------------
x-axis symmetry if you substitute -y for y
and it would give you the same equation.
Example: x = y^2
----------------------------------------
origin symmetry if you substitute -x for x
and -y for y and get the same equation.
Example: y = x^3
======================
Cheers,
Stan H.
======================

RELATED QUESTIONS
I am trying to test an equation for symmetry. The equation is x^2 = y^3 + 4. I am... (answered by MathTherapy)

I accidentally put the wrong equation in my original question - I am so sorry! The... (answered by AnlytcPhil,MathLover1)

I am trying to help my daughter. Write the equation for: X intercepts 4, Y intercepts 5. (answered by lynnlo)

I am trying to find the solution set for this equation... (answered by ichudov)

I am trying to find the quadratic equation for when y=2 and x=... (answered by longjonsilver)

2x+y=4 I am trying to find the x and y intercept of the equation (answered by whty89)

y=(x^3-x)/2 I need to find the intercepts, I know it intercepts the y axis at (0,0) but... (answered by ewatrrr)

I am trying to find the ordered pairs for the linear equation... (answered by ReadingBoosters)

Hello, I am trying to solve the following equation for x: 15x/4 = 9/4 + x-3/2... (answered by MathLover1,MathTherapy)