SOLUTION: y^2(1-x)=x^2(x+1) what is this relation called? Graph the relation

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Question 1040840: y^2(1-x)=x^2(x+1)
what is this relation called?
Graph the relation

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
y^2(1-x)=x^2(x+1)
what is this relation called?
Graph the relation
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

This relation is called an equation.



Plot  y = sqrt%28%28x%5E2%2A%28x%2B1%29%29%2F%281-x%29%29 (red line)

Plot  y = -sqrt%28%28x%5E2%2A%28x%2B1%29%29%2F%281-x%29%29 (green line)

The domain is   -1 <= x < 1.


Comment from student: That is not what the graph looks like in the answers. It looks like a sideway cancer ribbon


My response: if you know more than I it is even better.
By the way, what is shown in the plot by the red line, is the positive branch of the function y = sqrt%28%28x%5E2%2A%28x%2B1%29%29%2F%281-x%29%29.

What is shown in the green line is the negative branch of this function: y = -sqrt%28%28x%5E2%2A%28x%2B1%29%29%2F%281-x%29%29.

It is plotted under the assumption that your formula is 

y%5E2%2A%281-x%29 = x%5E2%2A%28x%2B1%29.

But Your writing is ambiguous: it may be read in more than 1 way.

Use parentheses to make your formulas unambiguous.

Good luck!