I was given a graph like this in my exam. Its defined para-metrically by x=c^2 and y =c^3. It won't help me now but could someone explain this to me why I have two seemingly different lines I know it is because its a parametric equation but I don't understand it in this context
Eliminating $C_i$ gives $$x^3=y^2\qquad\blacksquare$$ There are two lines because the equation is equivalent to $$x^3=(\pm y)^2$$ i.e. for each value of $x$ there are two possible values ($\pm$) of $y$.