# Definition:Conic Section/Reduced Form/Parabola

Let $K$ be a parabola embedded in a cartesian coordinate plane.
Instead, $K$ is in reduced form if and only if:
$(1)$ its focus is at the point $\left({c, 0}\right)$
$(2)$ its directrix is aligned with the line $x = -c$
for some $c \in \R_{> 0}$.