What is an asymptote and why doesnt parabola have one? An asymptote is a straight line associated with a curve such that as a point moves along an infinite branch of the curve the distance from the point to the line approaches zero and the slope of the curve at the point approaches the slope of the line The word's origin is Greek and means "not intersecting"
Why is y=a a horizontal asymptote on the polar coordinates? The discussion revolves around the behavior of a hyperbolic spiral described by the equation rt=a in polar coordinates, particularly focusing on why the line y=a is considered a horizontal asymptote