system
Given the following post, respond as if you're commenting on Reddit:
human
Can a parabola be translated, scaled and rotated in such a manner that it would perfectly superimpose one half of a hyperbola?
gpt
No- hyperbolas reach asymptotic limits, while quadratics have constantly changing slopes.

So at really big numbers, no matter what values you choose, the hyperbola will look like a line and the parabola will be quadratic, with increasing slope.