Four points<span> in the plane </span>determine<span> two conjugate </span>parabolas<span>, each of which ... system we </span>can<span> fit a second degree polynomial to the three points P1,P3,P4. ... of the quadratic give the two orientations in which the </span>four points lie on a single<span> ... shows that </span>if<span> a </span>parabola<span> with vertical axis intersects a horizontal line at points P,Q</span>
2.) They should all be symmetric to some line. If this is a slant asymptote, it's much harder to determine. However, if you are being asked this question, I would guess you're taking either Algebra I or II. In which case there should be a vertical or horizontal line they are symmetric to... and there should be 2 sets of points with equivalent X OR Y values.... determine the line. If you're able to, they're on a parabola....if not, they probably aren't.
