Parabolas
A parabola is the set of points equidistant from a point, called the focus, and a line, called the directrix.
A standard parabola with directrix $y = -p$ and focus $(0, p)$ is
\[y = \frac{x^2}{4p} .\]A parabola is the set of points equidistant from a point, called the focus, and a line, called the directrix.
A standard parabola with directrix $y = -p$ and focus $(0, p)$ is
\[y = \frac{x^2}{4p} .\]