I have tried double differentiating the first function and I find that the locus generated by the inflection point is a hyperbola. The second derivative of the second function is also a hyperbola. The question is how should I put together my demonstration? Is it even right? I am quite puzzled as I don't understand what I should be doing.

Thanks in advance to anyone who will take the time to help!

(I am still in high school, btw, but we do calculus, that's why I put this in the calculus section even though I'm not at University.)

Inviato dal mio LG-M700 utilizzando Tapatalk